Question

Find the value of sin^2(33)+sin^2(57)

Answer 1

Answer:

$\red { Value \: of \:sin^{2}\:33+sin^{2}\:57}\green { = 1 }$

Step-by-step explanation:

$\red { Value \: of \:sin^{2}\:33+sin^{2}\:57}$

$= sin^{2}\:33+sin^{2}\:( 90 - 33)\\=\:sin^{2}\:33+cos^{2}\:33$

$\green { = 1 }$

$\boxed { \pink { sin^{2}A + cos^{2} A = 1}}$

$\blue { ( Trigonometric \: identity )}$

Therefore.,

$\red { Value \: of \:sin^{2}\:33+sin^{2}\:57}\green { = 1 }$

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Answer 2

Hope it helps you ....