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Suppose sin(a) = and cos(B) = 12 where a is in Quadrant I and B is in Quadrant II. a. Find tan(a). Give an exact answer. 13 b. Find tan(B). Give an exact answer. c. Find tan(a - b). Give an exact answer.
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
use the info. given below to find sin(a-b) cos a= 5/13, with a in quadrant IV cos b= -5/13, with b in quadrant III O TRIGONOMETRIC IDENTITIES AND EQUATIONS Sum and difference identities: Problem type 3 Use the information given below to find sin(a - b). COS 7 5 with a in quadrant IV 13 5 with B in quadrant III 13 cos B 1 Give the exact answer, not a decimal approximation. sin (a - b) = 0 8...
use the info given below to find cos(a+b) tan a= 3/4, with a in quadrant III sin b= 15/17, with b in quadrant II = O TRIGONOMETRIC IDENTITIES AND EQUATIONS Sum and difference identities: Problem type 3 Use the information given below to find cos(a+b). 3 tana= with a in quadrant III 4' 15 with B in quadrant II 17 sin B = Give the exact answer, not a decimal approximation. cos (a + B) = 0 금 X 5...
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...
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? +...
17 points) 13. Find the exact value of the following under the given conditions: COS u lies in quadrant Il and tan vv lies in quadrant III. a) sin(+v) b) cos(w + v) c) tan(+ v) d) Which quadrant does angle u + v lie in?
Find the exact value of: sin(cos^-1(-5/13) + tan^-1(8/15 12. Find the exact value of: sin(cos + tan 13
5. (20 pts.) Given: sin a = 3/5 and sin B = 5/13. Where a is in Quadrant II and B is in Quadrant I. Determine the following and report all numerical answers in exact form. a. (02 pts.) Construct both b. (03 pts.) cos a C. (03 pts.) cos Right Triangles d. (02 pts.) sin(a + b) e. (02 pts.) cos(a + b) f. (02 pts.) tan(a + b) g. (02 pts.) sin(a - b) h. (02 pts.) cos(a...
4 If sin(0) and is in quadrant II , then find 7. (a) cos(0) = (b) tan(O) = (c) sec(0) = (d) csc(0) = (e) cot(0) =