Question

If Sin x = 1/√2, then value of Cos x will be​

Answer 1

Procedure:

we know that

sin^2(x) + cos^2(x)=1

now

(sin x - cos x)^2 = sin^2 (x) - 2 sin(x)*cos(x) + cos^2(x)

(sin x - cos x)^2 = sin^2(x) + cos^2 - 2 sin(x) * cos (x)

(sin x - cos x)^2 = 1 - 2* 1/2

put the value from given information in the question and sin^2(x) + cos^2(x)=1

(sin x - cos x)^2 = 0

sin x -cos x = 0

if any doubt comment below

Answer 2

Answer: 1/√2

Step-by-step explanation:

Sinx=1/√2

The value of sinx is 1 /√2 when the angle x is 45°

x=45°

Cosx = cos45° = 1/√2