Question

given that sin A = 1/2 and cosB = 1/root 2 then the value of A+B is...??

Answer 1

if both of these lies in first quardrant then
A= 30 and B = 45
So A+B = 30 +45 =75
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Answer 2

Answer: The value of A + B is 75°

Explanation:

We are given:

$\sin A=\frac{1}{2}$

$\cos B=\frac{1}{\sqrt{2}}$

To calculate the value of A and B, we take the inverse functions of sine and cosine.

Taking inverse of sine function:

$A=\sin^{-1}(\frac{1}{2})\\\\A=30^o$

Taking inverse of cosine function:

$B=\cos^{-1}(\frac{1}{\sqrt{2}})\\\\B=45^o$

Evaluating the value of A + B, we get:

$A+B=30^o+45^o=75^o$

Hence, the value of A + B is 75°