Trigonometry Class 10 Maths Introduction to Trigonometry questions with solutions

Question

If x tan 60°cos 60°= sin60°cot 60°, then x =

Smart Achievers · Accepted Answer

(2)

$x \tan 60 ° \cos 60 ° = \sin 60 ° \cot 60 °$

$\Rightarrow x \times \sqrt{3} \times \frac{1}{2} = \frac{\sqrt{3}}{2} \times \frac{1}{\sqrt{3}} \Rightarrow x \sqrt{3} = 1$

$\Rightarrow x = \frac{1}{\sqrt{3}} \Rightarrow x = \tan 30 °$ $[∵ \tan 30 ° = \frac{1}{\sqrt{3}}]$

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