Question

If sin theta = cos theta, find the value of theta.​

Answer 1

$\huge\underline\mathfrak\green{Solution}$

let theta = A

sin A = cos A

$\frac{sinA}{cosA} = 1$

tan = 1

tan A = tan 45°

A = 45°

Therefore,

$\large\boxed{\bold{Theta = A = 45°}}$

$\huge\mathbb\blue{THANK\:YUH!}$

Answer 2

Answer:

45° , 225°

Step-by-step explanation:

let theta = ∝

sin∝ = cos∝

tan∝ =1

∝ = 45° , 225°

other solution

cos∝ = sin∝

cos²∝ = sin²∝

cos²∝ - sin²∝ = 0

cos2∝ = 0

2∝ = 90 °, 270°,450

∝ = 45° , 135°, 225°

135 is excluded

∝ = 45° , 225°