Question

Solve the trigonometric equation with steps:

a) Sin x = 0
b) Cos x = 0
c) Tan x = 0
d) Cot x = 0

Answer 1

a) Sin x = 0: The solutions are x = 0° and x = 180°. b) Cos x = 0: The solutions are x = 90° and x = 270°. c) Tan x = 0: The solution is x = 0°. d) Cot x = 0: The solution is x = 90°.

Step-by-step explanation:

a) Sin x = 0:

1. Set the equation equal to zero: sin x = 0
2. Find the values of x that make sin x equal to zero. The solutions are x = 0° and x = 180°.

b) Cos x = 0:

1. Set the equation equal to zero: cos x = 0
2. Find the values of x that make cos x equal to zero. The solutions are x = 90° and x = 270°.

c) Tan x = 0:

1. Set the equation equal to zero: tan x = 0
2. Find the values of x that make tan x equal to zero. The solution is x = 0°.

d) Cot x = 0:

1. Set the equation equal to zero: cot x = 0
2. Find the values of x that make cot x equal to zero. The solution is x = 90°.