Please write legibly. Find sin 2x, cos 2x, and tan 2x if tanx = – and x terminates in quadrant III. DO sin 2x = 0 X ? cos2x = 0 tan 2x = 0
11. Hind cos x for the following: A. If tanx 4 3 and x terminates in the third quadrant. B. If sin 12 and x terminates in the fourth quadrant. 13 3 C. If sinc and x terminates in the second quadrant. 7
Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = ) = - cos(x) > 0 sin(2x) = cos(2x) = tan(2x) =
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]
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...
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
13 points 0/3 Submissions Used Find sin (2x), cos(2x), and tan(2x) from the given information sec (n) 8, in quadrant II sin (2x) cos (2x)- tan (2x) = Practice
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...
(1 point) If tan x - -1/3, cosx > 0,, then sin 2x- cos 2x - tan 2x - (1 point) Find cos 29 if sin- 13 85