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Question
The value of `(cotx - tanx)/(cot 2x)` is ______.
Options
1
2
– 1
4
MCQ
Fill in the Blanks
Solution
The value of `(cotx - tanx)/(cot 2x)` is 2.
Explanation:
`(cotx - tanx)/(cot 2x)`
= `tan 2 x (cot x - 1/cotx)`
= `tan 2 x ((cot^2 x - 1)/cot x)`
= `tan 2 x ((cot^2 x - 1)/(2 cot x)).2`
= tan 2 x cot 2x . 2
= 2
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Trigonometric Functions of Multiple Angles
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