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Question
The value of
Options
1
− 1
2
−2
Solution
We have to find: \[\frac{\cos \left( 90°- \theta \right) \sec \left( 90°- \theta \right) \tan \theta}{cosec \left( 90°- \theta \right) \sin \left( 90° - \theta \right) \cot \left( 90°- \theta \right)} + \frac{\tan \left( 90° - \theta \right)}{\cot \theta}\]
so
\[\frac{\cos \left( 90°- \theta \right) \sec \left( 90°- \theta \right) \tan \theta}{cosec \left( 90°- \theta \right) \sin \left( 90° - \theta \right) \cot \left( 90°- \theta \right)} + \frac{\tan \left( 90° - \theta \right)}{\cot \theta}\]
= `(sin θ cosec θ tan θ) /(sec θ cos θ tan θ )+cot θ / cot θ `
=` (1 xx tan θ) /(1xx tan θ )+cot θ /cot θ `
=`1+1`
=`2`
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