Math, asked by Dixant567, 11 months ago

Tan^2theta - sin^2theta = tan^2theta × 1/cosec^2theta.

Answers

Answered by ananthukrishnan456
0

Step-by-step explanation:

tan^2theta - sin^2theta

(sin^2theta /cos^2theta) - sin^2theta

= (sin^2theta - sin^2theta cos^2theta ) /cos^theta

= (sin^2theta (1 - cos^2theta) ) / cos^2theta

= (sin^2theta * sin^2theta)/cos^2 theta

= (sin^2theta /cos^2theta) * sin^2theta

= cos^2theta * 1 / cosec^2theta

hence proved

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