Find the value of $sin^235 + sin^255$.

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

Find the value of $sin^235 + sin^255$.

Options:

-1

$\frac{1}{2}$

Correct Answer:

Explanation:

Using :-

sinA = cosB Iff A + B = 90º

Now,

sin²35º + sin²55º

= cos²35º + sin²55º { sinA = cosB Iff A + B = 90º }

= 1 { cos²A + sin²A = 1 }