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Sign of Trigonometric Ratios in Different Quadrants

The value of ...

Question

The value of $2 {sin}^{2} \frac{3 π}{5} + 2 {cos}^{2} \frac{2 π}{5} + 2 {sec}^{2} \frac{π}{3}$ is

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Solution

$2 {sin}^{2} \frac{3 π}{5} + 2 {cos}^{2} \frac{2 π}{5} + 2 {sec}^{2} \frac{π}{3} = 2 {sin}^{2} (π - \frac{2 π}{5}) + 2 {cos}^{2} \frac{2 π}{5} + 2 {sec}^{2} \frac{π}{3} = 2 ({sin}^{2} \frac{2 π}{5} + {cos}^{2} \frac{2 π}{5}) + 2 (2)^{2} = 2 + 8 = 10$

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Similar questions

2 {sin}^{2} \frac{3 π}{4} + 2 {cos}^{2} \frac{π}{4} + 2 {sec}^{2} \frac{π}{3} = 10

Prove that:

$2 {sin}^{2} \frac{3 π}{4} + 2 {cos}^{2} \frac{π}{4} + 2 {sec}^{2} \frac{π}{3} = 10$

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Sign of Trigonometric Ratios in Different Quadrants

Standard XII Mathematics

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