Question

sin square 32 + sin square 58 is equal to​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

The value of $sin ^232 + sin ^2 58=1$

Step-by-step explanation:

Given to find the value of a trigonometric relation

$sin ^232 + sin ^2 58$

58 can be written as $90 - 32$.

Using this in the given equation,

$sin ^232 + sin ^2 (90-32)$

As the complementary angles of the trigonometric ratios, sinθ and cosθ are equal,

thus $sin (90-\theta)= cos \theta$.

Using this in the above equation,

$sin ^232 + cos ^232$

As we know that $sin^2\theta + cos^2\theta=1$

thus, $sin ^232 + cos ^2 32=1$

Therefore, the value of $sin ^232 + sin ^2 58=1$

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