Question

if sinA=cosA,find the value of A

Answer 1

Sin A = Cos A for A = 45°

Answer 2

Answer:

Step-by-step explanation:

Given: It is given that  $sinA=cosA$.

To find: The value of A.

Solution:  It is given that  $sinA=cosA$, then $sinA=cosA$

Dividing by cosA on both the sides of the given equation, we have

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

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

$tanA=1$

$A=tan^{-1}(1)$

$A=45^{\circ}$

Thus, the value of A will be $45^{\circ}$.