If cosθ = 2p/(p2+ 1), p≠0 then tan θ is equal to:
Show answer & explanation
Correct answer: A
Explanation
Correct Answer is option 1 i.e. (p2-1)/2p
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Concept |
Understanding |
Application |
Fair calculation |
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Tan x = perpendicular/Base Cos x = base/ hypotenuses
Pythagoras theorem Base2 = Hypotenuses2 – Perpendicular2
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Given Cos θ = 2p/(p2+1) By comparing Base= 2p Hypotenuses = (p2+1)
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Perpendicular2= Hypotenuses2 – Base2
tanθ =(p2-1)/2p |
Perpendicular2 =(p2+1)2 - (2p)2 = p4 + 1 + 2p2 – 4p2 = (p2-1)2 So, Perpendicular = (p2-1) |