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Question
cosec2θ + sec2θ is equal to ______.
Options
tan2θ + cot2θ
cot θ + tan θ
(cot θ + tan θ)2
1
MCQ
Fill in the Blanks
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Solution
cosec2θ + sec2θ is equal to (cot θ + tan θ)2.
Explanation:
Use 1 + tan2θ = sec2θ and 1 + cot2θ = cosec2θ.
So, cosec2θ + sec2θ = (1 + tan2θ) + (1 + cot2θ)
= tan2θ + cot2θ + 2
= (tan θ + cot θ)2
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