Evaluate sin30 sec60 tan60, Class 10 Maths Introduction to Trigonometry questions with solutions

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Solution

Q.
Evaluate : $2 \sin^{2} 30 ° \sec 60 ° + \tan^{2} 60 ° .$

Ans.
(4)

$2 \sin^{2} 30 ° \sec 60 ° + \tan^{2} 60 °$

$= 2 {(\frac{1}{2})}^{2} \times 2 + {(\sqrt{3})}^{2} = 2 \times \frac{1}{4} \times 2 + 3 = 1 + 3 = 4$

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