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Asked by 2806rahul | 16 May, 2010, 08:50: PM
answered-by-expert Expert Answer

cot θ - cot3θ = 1/tan θ - 1/tan3θ = (tan3θ - tanθ)/tanθ tan3θ       .......(1)

Now,

[cot θ/(cot θ - cot3θ)] + [tan θ/(tan θ - tan3θ)] =

Using (1) to replace the denominator in first term,

[tanθ tan3θcot θ/((tan3θ - tanθ)] + [tan θ/(tan θ - tan3θ)] =

[tan3θ/((tan3θ - tanθ)] + [tan θ/(tan θ - tan3θ)] =                         ... tanθ cotθ = 1

[- tan3θ/((tanθ - tan3θ)] + [tan θ/(tan θ - tan3θ)] =

(tan θ - tan3θ)/(tan θ - tan3θ) = 1

Regards,

Team,

TopperLearning.

Answered by | 17 May, 2010, 07:11: AM

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