है के दि कक कक दि8. Simplify :Cos? 8 ( Tan?0 +

1.	है के दि कक कक दि8. Simplify :Cos? 8 ( Tan?0 + Cosec® 0 - Cot* 0) Sin® 0e
Answer» Let theta = x cos^2 x(tan^2 x + cosec^2 x - cot^2 x) - sin^2 x Usingcosec^2 x - cot^2 x = 1 = cos^2 x(tan^2 x + 1) - sin^2 x = cos^2 x(sin^2 x/cos^2 x + 1) - sin^2 x = cos^2 x[(sin^2 x + cos^2 x)/cos^2 x] - sin^2 x = sin^2 x + cos^2 x - sin^2 x = cos^2 x

है के दि कक कक दि8. Simplify :Cos? 8 ( Tan?0 + Cosec® 0 - Cot* 0) Sin® 0e

Answer»

Let theta = x

cos^2 x(tan^2 x + cosec^2 x - cot^2 x) - sin^2 x

Usingcosec^2 x - cot^2 x = 1

= cos^2 x(tan^2 x + 1) - sin^2 x

= cos^2 x(sin^2 x/cos^2 x + 1) - sin^2 x

= cos^2 x[(sin^2 x + cos^2 x)/cos^2 x] - sin^2 x

= sin^2 x + cos^2 x - sin^2 x

= cos^2 x