3 12 3. If sin = and angle a terminates in the second quadrant and tan...
5 4 If tan = and coto= find the exact value of sin(0-0). 9 Note: Be sure to enter EXACT values 1 You do not need to simplify any radicals. sin(0-0)- 2 If cosa = 0.369 and cos B 0.195 with both angles' terminal rays in Quadrant-l, find the values of (a) sin(a +B) = (b) sin(B-a) = Your answers should be accurate to 4 decimal places. Give exact answers 2 sin(a) = and cos(B) 4 5 Both angles terminate...
13. If sin(0) = 4 and 0 terminates in Quadrant III, find cos(0) and tan(). Expand the following expression using the properties of logarithms. Assume all va variables are positive. In(7)
Verify that the equation is an identity. sin (x-y) tan x- tany sin (x+y) tanx + tany Which of the following statements verifies that the equation is an identity? O A A tan x-tany tanx+ tany sin?(x - y) V1- cos? (x-y) 11 - cos? (x + y) sin(x - y) sin (x+y) O B. sin (x-y) sin cosy - cos x siny sin x- cos y tan x-tany sin (x+y) sin x cos y + cos x siny sin...
question 47 and 48 please. Thanks 43. tan” x - 2 tan x = 0 44. 2 tan” x - 3 tan x = -1 45. tan- 0 + tan 0 - 6 = 0 46. sec? x + 6 tan x + 4 = 0 2.4 Evaluating Trigonometric Functions in Exercises 47-50, find the exact values of the sine, cosine and tangent of the angle. 47. 75º = 120° - 45° 48. 375º = 135° + 240° 402511 -...
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
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]
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...
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
15 Find sin 2x, cos 2x, and tan 2x if tanx = and x terminates in quadrant I. 8 sin 2x = 0 Х s ? cos 2x C tan 2x
let Theta be an angle in quadrant IV with cos(theta)=3/5 find sin(2theta), cos(2theta) and tan(theta/2)