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Question
The value of `2 cot^2(π/6) + 4 tan^2(π/6) - 3 "cosec"(π/6)` is ______.
Options
2
4
`4/3`
`3/4`
MCQ
Fill in the Blanks
Solution
The value of `2 cot^2(π/6) + 4 tan^2(π/6) - 3 "cosec"(π/6)` is `underlinebb(4/3)`.
Explanation:
`2 cot^2(π/6) + 4 tan^2(π/6) - 3 "cosec"π/6`
= `2(sqrt(3))^2 + 4(1/sqrt(3))^2 - 3(2)`
= `2 xx 3 + 4/3 - 6`
= `4/3`
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Trigonometric Functions of Allied Angels
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