For the following trigonometric equation, perform substitution to identify which of the following angles is a solution.

sin x = (√2)/2

a) π/6

b) π/3

c) π/4

d) π/2

For the following trigonometric equation, solve and give the answer in radians.

cos D = - (√3)/2

For the following trigonometric equation, solve and give the answer in radians.

13 sin C = - 12 sin C - 25

For the following trigonometric equation, solve in the interval [0, 2π] and give the answer in exact radian measure.

(cos x - 1)(tan x + √3) = 0

For the following trigonometric equation, solve over the interval [0, 2π) and give the answer in radians.

34sin(2x) = 17

Apply the most suitable technique to determine the solution of the following equation within the interval [0, 2π), employing exact values whenever feasible or providing approximations accurate to four significant figures.

2 cos 2x - √3 = 0

Apply the most suitable technique to determine the solution of the following equation within the interval [0, 2π), employing exact values whenever feasible or providing approximations accurate to four significant figures.

6 cos x tan x = (3√3) tan x