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Question : 22 of 160
Marks:
+1,
-0
Solution:
Consider the expression,
cot‌θ−tan‌θ−2‌tan‌2‌θ−4‌tan‌4‌θ Simplify the above,
−−2 −4 =2| cos2θ−sin2θ |
| 2‌sin‌θ‌cos‌θ |
− −4 =2| cos2θ−sin2θ |
| 2‌sin‌θ‌cos‌θ |
−2 −4 =2(2)| [cos22θ−sin22θ] |
| 2‌sin‌2‌θ‌cos‌2‌θ |
−4 =| 4‌cos‌4‌θ |
| sin‌4‌θ |
−4 Further simplify the above,
4[| cos24θ−sin24θ |
| sin‌4‌θ‌cos‌4‌θ |
]=8 =8‌cot‌8‌θ
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