Question

COS A=sin B,then value of A+B *
1 point
60°
45°
90°
None​

Answer 1

Answer:

90 degree

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Answer 2

Given,

$\cos(A) = \sin(B)$

We know the trigonometric ratios,

$\sin(0) = 0 \\ \sin(30) = \frac{1}{2} \\ \sin(45) = \frac{1}{ \sqrt{2} } \\ \sin(60) = \frac{ \sqrt{3} }{2} \\ \sin(90) = 1$

And

$\cos(0) = 1 \\ \cos(30) = \frac{ \sqrt{3} }{2} \\ \cos(45) = \frac{1}{ \sqrt{2} } \\ \cos(60) = \frac{1}{2} \\ \cos(90) = 0$

Now we can see that,

In sin and cos values, only at 45° sin and cos are having same values

So if Sin A = Cos B

Sin 45° = Cos 45°

So A = 45°

B = 45°

Hence A+B = 90°

option D) 90°