Question

if sin A = cos b then find ( A+B

Answer 1

Answer:

sin A = CosB

then A=B = 45

then A+B = 90

Answer 2

Answer:

The value of  $A+B$ is 90° when $sinA=cosB$.

Step-by-step explanation:

Consider the given condition as follows:

$sinA=cosB$ ....... (1)

Recall the trigonometric identity, $sin\theta=sin(90-\theta)$

Using identity, rewrite the equation (1) as follows:

$sinA=sin(90-B)$ ....... (2)

We know that, $sin\theta =sin \alpha$ if and only if $\theta =\alpha$.

From (2), we get

$A=90-B$

⇒ $A+B=$ 90°

Therefore, the value of $A+B$ is 90° when $sinA=cosB$.

#SPJ3