If (1 + tan2x) + (1+ (tan2x)-1) = k, then √k=?
Show answer & explanation
Correct answer: D
Explanation
Correct answer is option 4 i.e. cosecx sec x
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Concept |
Understanding |
Application |
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Tan x = Sin x/Cos x
Sin2x + Cos2x = 1
1/Sin x = Cosec x
1/Cos x = Sec x |
Put Tan x = Sinx/Cosx
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(1 + (Sin x/Cos x)2) + (1 + (Cos x/Sin x)2) = k ⇒(Sin2x + Cos2x)/ Cos2x + (Sin2x + Cos2x)/Sin2x = k ⇒1/ Cos2x + 1/ Sin2x ⇒ (Sin2x + Cos2x)/ Sin2x Cos2x ⇒ 1/ Sin2x Cos2x ⇒cosec2x sec2x |
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√k = cosec x sec x |