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minaxi

· started a discussion

· 1 Months ago

ans is 2 also (Question:114033.0)

sir sin cos me convert karke dekho to 2 ans aa raha h

Question:
Which of the following is the simplified value of (sec A – cos A)2 + (cosec A – sin A)2 – (cot A – tan A)2?
Options:
A) 2
B) 1
C) 3
D) 4
Solution:
Ans:(b) (sec A – cos A)2 + (cosec A – sin A)2 – (cot A – tan A)2 

⇒ (sec2A + cos2A – 2sec A. cos A) + (cosec2A + sin2A – 2cosec A.sin A) – (cot2A + tan2A – 2tanA.cot A)

⇒ sec2A + cos2A – 2 + cosec2A + sin2A – 2 – (cot2A + tan2A – 2)

⇒ (sec2A – tan2A) + cos2A + sin2A + cosec2A – cot2A – 2

⇒ 1 + 1 + 1 – 2 ⇒ 1


minaxi

· commented

· 1 Months ago

question no. 29
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