Question

If sin² 40 +sin ² A =1 then angle A =?


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Answer 1

Answer:

50°

Step-by-step explanation:

sin² 40 + sin² A =1

thus, sin²(40+A) =1

OR

Sin(40+A)=√1=1

sin (40+A)=1

We know, sin 90°=1

thus, 40+A=90

A=90-40

A=50°

Answer 2

${ \sin }^{2} 40 + { \sin }^{2} a = 1 \\ \because { \sin }^{2} (40 + a) = 1$

OR

$\sin(40 + a) = \sqrt{1 = 1} \\ \sin(40 + a = 1)$

We know that,

$\sin90 \degree = 1 \\ 40 + a = 90 \\ a = 90 - 40 \\ a = 50$