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  • a)
    2cot α
  • b)
    2cosec α
  • c)
    cot α
  • d)
    cosec α
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
a)2cot αb)2cosec αc)cot αd)cosec αCorrect answer i...
Correct Answer : a
Explanation :  {1 + cotα - sec(π/2 + α)} {1 + cotα + sec(π/2 + α)}
As we know that (a-b)(a+b) = a2 - b2
(1 + cotα)2 - [sec(π/2 + α)]2
1 + 2cotα + cot2α - (-cosecα)2
2cotα + 1 + cot2α - cosec2α
As we know that 1 + cot2α = cosec2α
= 2cotα + cosec2α - cosec2α
= 2cotα
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a)2cot αb)2cosec αc)cot αd)cosec αCorrect answer i...
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a)2cot αb)2cosec αc)cot αd)cosec αCorrect answer i...
Correct Answer : a
Explanation :  {1 + cotα - sec(π/2 + α)} {1 + cotα + sec(π/2 + α)}
As we know that (a-b)(a+b) = a2 - b2
(1 + cotα)2 - [sec(π/2 + α)]2
1 + 2cotα + cot2α - (-cosecα)2
2cotα + 1 + cot2α - cosec2α
As we know that 1 + cot2α = cosec2α
= 2cotα + cosec2α - cosec2α
= 2cotα
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a)2cot αb)2cosec αc)cot αd)cosec αCorrect answer is option 'A'. Can you explain this answer?
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