NCERT Solution-Class 10-Chapter-8-Introduction To Trigonometry-Exercise:8.2

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Exercise 8.2

1. Evaluate the following :

(i) sin 60° cos 30° + sin 30° cos 60°

$\large = \frac{\sqrt{3}}{2}\times \frac{\sqrt{3}}{2}+\frac{1}{2}\times \frac{1}{2}$

$\large = \frac{3}{4}+\frac{1}{4}$

$\large = \frac{3+1}{4}$

$\large = \frac{4}{4}$

$\large =1$

(ii) $\large 2tan^245\degree+cos^230\degree-sin^260\degree$

$\large =2\times 1^2+\left ( \frac{\sqrt{3}}{2} \right )^2-\left ( \frac{\sqrt{3}}{2} \right )^2$

$\large =2\times 1$

$\large =2$

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