Question

if x is in first quadrant and sin x is equals to cos x then what is the value of x​

Answer 1

value of x is 45°

here x is in first quadrant and sinx equals to cosx. we have to find value of x.

a/c to question,

sinx = cosx

we know, sin(90° - θ) = cosθ

so, cosx = sin(90° - x)

⇒sinx = sin(90° - x)

[ note : if sinA = sinB , then A = B]

⇒x = 90° - x

⇒2x = 90°

⇒x = 45°

hence, the value of x is 45° which lies in first quadrant.

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