Find the solutions to the equation sin 2x =sqrt3 cos 2x, where 0° ≤ x ≤ 90°?

15°

30°

45°

60°

75°

90°

Find the solutions to the equation cos ^2θ = sin^ 2θ, where 0° ≤ θ < 2π

-pi/4

pi/4

3pi/4

11pi/4

7pi/4

5pi/4

If cos θ is a first quadrant angle where P(u, v) = (1, 1), tan1/2 θ = _____

+sqrt(2-sqrt2 / 2+sqrt2)

+sqrt(2+sqrt2 / 2-sqrt2)

-sqrt(2-sqrt2 / 2+sqrt2)

-sqrt(2+sqrt2 / 2-sqrt2)

If cos x =sqrt3/2 and -90° ≤ x ≤ 0°, evaluate sin 2x.

sqrt3/2

-sqrt3/2

1/2

-1/2

Given: α is an angle in the second quadrant, csc α =25/7 ; β is an angle in the first quadrant, cos β =sqrt2/2

The value of tan (α - β) = -31/17

True

False

If α and β, are two angles in standard position in Quadrant III, find sin(α - β) for the given function values

sin a=-4/5 tan B=5/12

-63/65

33/65

-33/65

63/65

sqrt(cot^2x+1/tan^2x+1)=tanx

true

false

Find the phase shift of the function y = -sec(4x + π)

pi/4

-pi/4

-4π

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