Simplify tan3 θ csc2 θ cot2 θ cos θ sin θ as much as possible. A...
Simplify tan3 θ csc2 θ cot2 θ cos θ sin θ as much as possible.
A tall monument is located in the distance. You determine that the angle made to the top of the monument from the ground is 19◦ . The monument is located 200 feet away from the building you are in. How tall is the monument?
Find the exact value of cos(16π/3) cos(19π/3) without using your calculator, by finding the value of each of cos(16π/3) and cos(19π/3).
Find the exact values for each of the following (a) tan(−330◦ ) (b) sec(150◦ ) (c) sin(7π/6) (d) cos(−14π/3)
Homework Answers
1. Find the exact value of the six trig functions of 6. sin e csc cos...
1. Find the exact value of the six trig functions of 6. sin e csc cos 0 sec tan 8 cote 2. Find the exact value of each expression. Do not use a calculator. (a) tan 72° - cot 18 (b) sin 24-cot 24 e sin 66 3. Solve the right triangle. a = 8, B = 40°, C = 90°. 4. Solve the right triangle. a 3.b = 2, C = 90°. 5. An electric transmission pole is 24...
8. (a) (5pt) Prove the identity: cscx -cos x=sec x . sin'x 4 and tan θ<0 (b) (5pt) Find cos θ , if sin θ 8. (a) (5pt) Prove the identity: cscx -cos x=sec x . sin'x 4 and tan θ
8. (a) (5pt) Prove the identity: cscx -cos x=sec x . sin'x 4 and tan θ<0 (b) (5pt) Find cos θ , if sin θ
8. (a) (5pt) Prove the identity: cscx -cos x=sec x . sin'x 4 and tan θ
show work 9. tan 37 10. sec 4 11. Find sin(x + y) and cos(x +...
show work
9. tan 37 10. sec 4 11. Find sin(x + y) and cos(x + y) if cosx = - cosy = -— x is in quadrant II and y is in quadrant III. [10] 12. Find the exact value of sin 2x and cos 2x if sin x = and cos x = - [6] 5 13. Simplify tan (x + 3) to a form involving sinx, cosx, and/or tanx. [6]
9. [-12.94 Points) DETAILS SPRECALC7 7.1.017. Simplify the trigonometric expression. cos(x) + sin?(x) cos(x) 10. [-12.94...
9. [-12.94 Points) DETAILS SPRECALC7 7.1.017. Simplify the trigonometric expression. cos(x) + sin?(x) cos(x) 10. [-12.94 Points] DETAILS SPRECALC7 7.3.003. Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) ex in Quadrant 1 sin(2x) = cos(2x) = tan(2x) 11. [-12.94 Points] DETAILS SPRECALC77.3.022. Use an appropriate Half-Angle Formula to find the exact value of the expression. sin(105)
The point given below is on the terminal side of an angle θ in standard position. Find the exact value of each of the s...
The point given below is on the terminal side of an angle θ in standard position. Find the exact value of each of the six trigonometric functions of θ 2 (9, - 12) sin θ (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) cos θ (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) tan...
Find sin , cos , and tan - O A. sino= _ . cosO=- , tan...
Find sin , cos , and tan - O A. sino= _ . cosO=- , tan 0= - 13 O B. sino= - ], COSO = 3, tan o=1/3 o c. sino=- , coso - ., tan og OD. sino - 13. COSO = 1, tan 0=13 Find the exact value of sin 510º. O B. v O A. OC. O D. Find the exact value of tan 111. OA OB. Z OD. 13 OC. 2 Suppose that there is...
3 12 3. If sin = and angle a terminates in the second quadrant and tan...
3 12 3. If sin = and angle a terminates in the second quadrant and tan y = 5 and angle y 5 terminates in the first quadrant, then find the exact value of the following: A. cos(inty) B. sin(y - 3) C. tan-y) 7T COS." sin 4. Write each of the following as a single trigonometric function: TT A sin cos 12 12 tan-tany B 1 + tan 4 tany 5. Expand and simplify: sin ( x - 3...
Find the exact value of the expressions cos(a + b), sin(a + b) and tan(a+) under...
Find the exact value of the expressions cos(a + b), sin(a + b) and tan(a+) under the following conditions: sin(a)= a lies in quadrant I, and sin(B) = - Blies in quadrant II. a. cos(a +B)= (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in
1-17 u ule exact value of the expression 1) cos? 30+ cos? 60 2) cot 45-tan...
1-17
u ule exact value of the expression 1) cos? 30+ cos? 60 2) cot 45-tan 45 5-6 Use the given information to find the exact value 3) sin? 53 + cos2 53 4) cot 20 -tan 20 5) sin = , where is in quadrant 1. Find tan 6) tan 0 = - , where is in quadrant 4. Find sec 7-12 Verify the identity 7) tan sin cos 0 = sin? 8) tane = sine 9) tancos? +...
3. Given: A and B are positive acute angles, where sin A = { and cos...
3. Given: A and B are positive acute angles, where sin A = { and cos B = 3 Find the exact value of sin(A+B). 4. Given: angles A and B are in Quadrant I, where 5 tan 4= - and sin B=- V74 Find the exact value of tan(A+B). 5. Given: A lies in Quadrant III and B lies in Quadrant II, sin A=-.- and cos B= Find the exact value of cos(A-B). 17
1. Find the exact value of the six trig functions of 6. sin e csc cos 0 sec tan 8 cote 2. Find the exact value of each expression. Do not use a calculator. (a) tan 72° - cot 18 (b) sin 24-cot 24 e sin 66 3. Solve the right triangle. a = 8, B = 40°, C = 90°. 4. Solve the right triangle. a 3.b = 2, C = 90°. 5. An electric transmission pole is 24...
8. (a) (5pt) Prove the identity: cscx -cos x=sec x . sin'x 4 and tan θ<0 (b) (5pt) Find cos θ , if sin θ
8. (a) (5pt) Prove the identity: cscx -cos x=sec x . sin'x 4 and tan θ
show work
9. tan 37 10. sec 4 11. Find sin(x + y) and cos(x + y) if cosx = - cosy = -— x is in quadrant II and y is in quadrant III. [10] 12. Find the exact value of sin 2x and cos 2x if sin x = and cos x = - [6] 5 13. Simplify tan (x + 3) to a form involving sinx, cosx, and/or tanx. [6]
9. [-12.94 Points) DETAILS SPRECALC7 7.1.017. Simplify the trigonometric expression. cos(x) + sin?(x) cos(x) 10. [-12.94 Points] DETAILS SPRECALC7 7.3.003. Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) ex in Quadrant 1 sin(2x) = cos(2x) = tan(2x) 11. [-12.94 Points] DETAILS SPRECALC77.3.022. Use an appropriate Half-Angle Formula to find the exact value of the expression. sin(105)
The point given below is on the terminal side of an angle θ in standard position. Find the exact value of each of the six trigonometric functions of θ 2 (9, - 12) sin θ (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) cos θ (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) tan...
Find sin , cos , and tan - O A. sino= _ . cosO=- , tan 0= - 13 O B. sino= - ], COSO = 3, tan o=1/3 o c. sino=- , coso - ., tan og OD. sino - 13. COSO = 1, tan 0=13 Find the exact value of sin 510º. O B. v O A. OC. O D. Find the exact value of tan 111. OA OB. Z OD. 13 OC. 2 Suppose that there is...
3 12 3. If sin = and angle a terminates in the second quadrant and tan y = 5 and angle y 5 terminates in the first quadrant, then find the exact value of the following: A. cos(inty) B. sin(y - 3) C. tan-y) 7T COS." sin 4. Write each of the following as a single trigonometric function: TT A sin cos 12 12 tan-tany B 1 + tan 4 tany 5. Expand and simplify: sin ( x - 3...
Find the exact value of the expressions cos(a + b), sin(a + b) and tan(a+) under the following conditions: sin(a)= a lies in quadrant I, and sin(B) = - Blies in quadrant II. a. cos(a +B)= (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in
1-17
u ule exact value of the expression 1) cos? 30+ cos? 60 2) cot 45-tan 45 5-6 Use the given information to find the exact value 3) sin? 53 + cos2 53 4) cot 20 -tan 20 5) sin = , where is in quadrant 1. Find tan 6) tan 0 = - , where is in quadrant 4. Find sec 7-12 Verify the identity 7) tan sin cos 0 = sin? 8) tane = sine 9) tancos? +...
3. Given: A and B are positive acute angles, where sin A = { and cos B = 3 Find the exact value of sin(A+B). 4. Given: angles A and B are in Quadrant I, where 5 tan 4= - and sin B=- V74 Find the exact value of tan(A+B). 5. Given: A lies in Quadrant III and B lies in Quadrant II, sin A=-.- and cos B= Find the exact value of cos(A-B). 17
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