JEE PYQ: Trigonometric Ratios And Identities Question 9
Question 9 - 2019 (09 Apr Shift 1)
The value of $\cos^2 10° - \cos 10° \cos 50° + \cos^2 50°$ is:
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(1) $\frac{3}{4} + \cos 20°$
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(2) $3/4$
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(3) $\frac{3}{4}(1 + \cos 20°)$
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(4) $3/2$
Show Answer
Answer: (2) $3/4$
Solution
After expanding and using product-to-sum identities, all cosine terms cancel leaving $\frac{3}{4}$.