In Exercises 63-84, use an identity to solve each equation on the interval [0, 27). 63. 2 cosx + sin x – 1 = 0 64. 2 cosx – sin x – 1 = 0 65. sin?x - 2 cos x - 2 = 0 66. 4 sin x + 4 cos x - 5 = 0 67. 4 cos x = 5 - 4 sin x 68. 3 cos x = sinx 69. sin 2x = cos x 70. sin 2x = sin x 71. cos 2x = cos x 72. cos 2x = sin x 73. cos 2x + 5 cos x + 3 = 0 74. cos 2x + cos x + 1 = 0 V2 75. sin x cos x = 4 V3 76. sin x cos x = 4 78. sin x + cos x = -1 77. sin x + cos x = 1 sin (x - ) sin(x -) 79. sin(x + 4 = 1 4 80. sin x + 3 = 1 3 81. sin 2x cos x + cos 2x sin x = 82. sin 3x cos 2x + cos 3x sin 2x = 1 83. tan x + sec x = 1 84. tan x sec x = 1

Q: tan(sin-14/5+cos-11)

A: The given trigonometric expression is

Q: 2+tan x cos³ x

A:

Q: VERIFY THE IDENTITIES

A:

Q: In Exercises 85-96, use a calculator to solve each equation, correct to four decimal places, on the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Evaluate sin 2x sin 4.xdx 2 b. sin 3 2x + C 3 1 a. sin ' 2x+C 3 c. cos' 2x+C 1 с. 3 d. -cos 2x +С 2

A: To evaluate the given integral: ∫sin 2x sin 4x dx

Q: 2 1 + cos2x can be simplified to: O sin²x O csc² x O cos²x O sec² x

A:

Q: sin4x sin2x=1/2(cos2x-cos6x). Prove the identity

A: Consider the given identity

Q: Prove that sin 0 COS 0 2 2 = 1 - sin 0.

A: 1. sin2θ+cos2θ=1 2. sin2θ=2sinθcosθ

Q: In Exercises 50-53, find all solutions of each equation. V2 51. sin x = 2 1 50. cos x = 52. 2 sin x…

A: 50). To find the solutions of cosx=-12. Solution: Equation is cosx=-12. Principal range of cosθ is…

Q: Prove that 1-cos2x+sin2x 1+cos2x+sin2x = tan x

A:

Q: Use the cofunction identities to select the correct answer which fills in the blank. cos(10x) = sin_…

A: We know that, sin(90°+x) = cos(x) sin(90°-x) = cos(x)

Q: prove that sin⁴x - sin²3x+sinx-3 = 0 has no solution.

A: prove that sin⁴x - sin²3x+sinx-3 = 0 has no solution.

Q: Establish the identity 2 2 cos - sin 0 2, 1 - tan 0 2 = cos 0.

A: To establish the identity