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QUESTION 4 Use trig identity to determine the exact value of the following expressions. Provide all...
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? +...
Use a half-angle identity to find the exact value of the following expression. tan 15° Which of the following is the correct value of tan 15°? O A. -2-13 OB. -2+ V3 O C. 2+ 3 OD. 2-13
QUESTION 12 Use a double-angle or half-angle identity to find the exact value of: cos(0) = and 270° <=< 360°, find sin 5 OAV10 10 B. 10 C. None of these OD 10 3 17 OE 4 QUESTION 13 Use a double-angle or half-angle identity to find the exact value of: 3 sin(0)= and 0° <o<90° , find tan 5 - šar 10 OA. 3 B.V10 Octs OD. -V10 E V30 QUESTION 11 Use a double-angle or half-angle identity to...
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...
10. Rewrite the following expressions with exponents no greater than 1: A. sin? 2 B. cost 11. Let cos(20) 3 4 Find tan’ a sin 12. Graph two periods of the trigonometric functions: A. f(0) = 3 tan (20 – 5). B. g(x) = – cot(.x+7) C. f(x) = 2 sec(47x) + 3 D. g(0) = 5 csc -7 13. Identify the visible asymptotes for each of the graphs in question 12. 14. Write a formula to find ALL asymptotes...
Find the exact value of the expressions cos(α+β), sin(α+β) and tan(α+β) under the following conditions: sin(α)=4/5,α lies in quadrant I, and sin(β)=15/17,β lies in quadrant II.
Math 37 7/20/10 Name 1. (5 Points) Show all work to determine cos(172), without the aid of a calculator 2. (5 Points) Show all work to determine sin ). without the aid of a calculator 3. (5 Points) Show all work to determine tan(-) Math 37 7/20/10 4. (5 Points) Show all work to determine csc(-) 5. (5 Points) Show all work to determine sec(-420°) 6. (5 Points) Show all work to determine cot(495) Math 37 7/20/10 Name 7. (10...
III. When solving this problem show all the steps needed to transform the expressions into ones that can be (10) found in the table and indicate the entry of the table used in each step. a) Find the Laplace transform F(s) of the function (5+234 +5e-2) cos(6t) b) Find the inverse Laplace transform f(t) of the function F(s) = 2 s2 + 2s + 5 f(t)=L-'{F(s) Table of Laplace Transforms F(s)=L{()} f(t)= L-'{F(s) F(s)=L{f(t)} 1. 2. et s-a 3. r",...
Differential equations 7.2 Inverse transforms and transforms of derivatives Use Laplace Transforms to solve the initial value problem y" – 2y'+5y=-25x , y(0)=2, and y'(0)=3. TABLE OF LAPLACE TRANSFORMS f(0) L{f(0) = F(s) f(t) L {f(0)} = F(s) 1. 1 20. eat sinh kt k (s – a) - R2 S 1 s- a 2. t 21. ear cosh kt 52 (s - a)- K 3. " n! +10 n a positive integer 22. tsin kt 2ks (52 + 2)2...
Differential equations 7.2 Inverse transforms and transforms of derivatives Use Laplace Transforms to solve the initial value problem y" + 4y = 25xe", y(0)=-2, and y'(0)=1. TABLE OF LAPLACE TRANSFORMS f(0) L{f(0) = F(s) f(t) L {f(0)} = F(s) 1. 1 20. eat sinh kt k (s – a) - R2 S 1 s- a 2. t 21. ear cosh kt 52 (s - a)- K 3. " n! +10 n a positive integer 22. tsin kt 2ks (52 +...