use the info given below to find cos(a+b) tan a= 3/4, with a in quadrant III...
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...
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 given information to find the exact value of the expression. 4 5 22) tan a = , a lies in quadrant III, and cos B = - 3' ß lies in quadrant II 13 Find a) sin (a - b) and b) tan (a + b). 9
9. You are given that u is an angle in the third quadrant and tan u = 1 . tan Determine the exact values of cos u, cos 2u and cos žu . Write down the steps to your answers. Cos u = cos 2u = cos žu = 10. Write sin 4u sin 5u as a sum or difference of two trigonometric functions. Write down the steps to your answer
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? +...
O TRIGONOMETRIC IDENTITIES AND EQUATIONS Double-angle identities: Problem type 1 3 Find sin 2x, cos 2x, and tan 2x if sinx and x terminates in quadrant III. 10 . 0/0 sin 2x = X5 ? cos 2x tan 2x L
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...
41&43 In Problems 41-46, use the given information and appropriate identities to find the exact value of the indicated expression. 41. Find sin(x + y) if sin x = 1/3, cos y = -3/4, x is in quadrant II, and y is in quadrant III. 42. Find sin(x - y) if sin x = -2/5, sin y = 2/3, x is in quadrant IV, and y is in quadrant I. 43. Find cos(x - y) if tan x = -1/4,...
Find the exact value of the expressions cos(a +B), sin(Q+B) and tan(a +B) under the following conditions: sin(a) = 15 17 40 a lies in quadrant I, and sin(B) = 41 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
Given cos a = 12 13 with a in quadrant II, and sin B 8 17 with Bin quadrant | Find the exact value of tan (a-). ОА. 3 20 o B. 21 220 3 OC. 20 171 220 O D. Click to select your answer.