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CGP EDU Academic Team
Published on: August 13, 2026
If cot α – tan α = 2 cot 2 α ∀ α ∈ ] 0, π /2[cot α + tan α = 2 cosec 2 α ∀ α ∈ ] 0, π /2
(i) The value of tan 20° + 2 tan 50° – tan 70°, is –
Correct Answers for Comprehension Sub-Questions
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Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(i)
tan 20° – tan 70° + 2 tan 50°
= tan 20° – cot 20° + 2 tan 50°
= –2 cot 40° + 2 cot 40° = 0.
(ii)
Exp. = cot α – tan α = 2 cot 2 α
(iii)
Exp. = tan α + cot α = tan α + 
,
= 
+ 2 ≥ 2
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