In Exercises 53-62, solve each equation on the interval [0, 27). 53. (tan x – 1)(cos x + 1) = 0 54. (tan x + 1)(sin x – 1) = 0 55. (2 cos x + V3)(2 sin x + 1) = 0 56. (2 cos x – V3)(2 sin x – 1) = 0 57. cot x(tan x – 1) = 0 58. cot x(tan x + 1) = 0 59. sin x + 2 sin x cos x = 0 60. cos x - 2 sin x cos x = 0 61. tan x cos x = tan x 62. cot? x sin x = cot? x

Q: True or False sin(sin-1 0) = 0 and cos(cos-10) = 0.

A: Given:         sin(sin−10)=0  and cos(cos−10)=0

Q: y- y' cos x = y² cos x (1 - sin x)

A:

Q: how do i solve

A: Step 1:Step 2:

Q: 2. sin 2x 1 - sin² x = 2 tan x

A: Aim: To show that sin(2x)1-sin2(x)=2tan(x)

Q: Compute the exact value of sin() (7. 8

A: To find:sin7π8

Q: Show that os (2 tan~ r) COs

A: We have to prove that cos(2tan-1x)=1-x21+x2.

Q: Find an algebraic formula for cos (tan-1 u + sin¬1 v), then use that formula to 1 compute cos…

A: given function ,  costan-1 u + sin-1 v  ..........................eq.(1) now we have to find an…

Q: - sin sin -y = sin (x+y) Prove that cos Xcos 4 -y 4 -x sin 4 X - 4

A:

Q: 2. 3 sin x+6 sin x+3=0

A: on solving this we get the

Q: 9. Solve the equation for x if 0 < x < 27. 2 cos x + tan x - sec x = 0 VI

A: The correct option is option A. Use the trigonometric ratios and identities to rearrange the given…

Q: Find sin(v3t) dt (b) L-* [tan-" ) (a) L

A:

Q: eс 0 %3D 12, sin Ө>0 a) sin (20) (b) cos (20) (c) sin (d) cos 2 (e) tan (20) (f) tan 2 - - 2

A:

Q: 15. Write the equations of two different functions in the form f(x) = a sin[k (x - dᵒ)] + c and g(x)…

A: To write the equation of the given curve that model the function f in the form of f(x)=a…

Q: Solve cos ( tanx) = sin cot! 3 4

A: