Q25 of 29 Page 8

If 5x = sec θ and 5/x = tan θ, find the value of 5 [CBSE 2010]

Given: 5x = sec θ, and 5/x = tan θ


Consider 5(x2 – (1/ x2))


=


=


= (1/5) [sec2 θ – tan2 θ]


= (1/5)[1]


= 1/5 (∵ sec2 x – tan2 x = 1)

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