Question

if sin A=cos A then find the value of A?​

Answer 1

Given,

==> sin A = cos A

==> sin A = sin( 90 - A)

because, sin(90 - θ) = cos θ

So,

==> A = 90 - A

==> A + A = 90

==> 2A = 90

==> A = 45°

Value of A is 45°

Answer 2

$\huge\sf\red{Answer:}$

★ Given:

⇒ If sin A = cos A.

★ Find:

⇒ Find the value of A?

★ Calculations:

⇒ $\sf sin \: A = cos A$

⇒ $\sf sin \: A = sin \: (90° - A)$

⇒ $\sf A = 90 - A$

⇒ $\sf 2 A = 90°$

⇒ $\sf A = \cancel{ \dfrac{90}{2}}$

⇒ ${\sf{\underline{\boxed{\green{\sf{A = 45° }}}}}}$

Therefore, 45° is the value of A.