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The value of sin²30 – sin²40 + sin²45 – sin²55 – sin²35 + sin²45 – sin²50 + sin²60 is –

SSC · 2024 · Quantitative Aptitude
Question:
The value of sin²30 – sin²40 + sin²45 – sin²55 – sin²35 + sin²45 – sin²50 + sin²60 is –

Options

(1) 1
(2) 2
(3) 4
(4) 0
Answer: (4) 0

Explanation:
Using complementary angle identities and simplifying, the expression equals 0.

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