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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:

  • (1) $\frac{3}{4} + \cos 20°$

  • (2) $3/4$

  • (3) $\frac{3}{4}(1 + \cos 20°)$

  • (4) $3/2$

Show Answer

Answer: (2) $3/4$

Solution

After expanding and using product-to-sum identities, all cosine terms cancel leaving $\frac{3}{4}$.


Learning Progress: Step 9 of 12 in this series