prove 1+(2tan^2theta)/cos^2theta=tan^4theta+sec^4theta

Asked by kumarkundanekghara | 20th Jul, 2015, 07:51: PM

Expert Answer:

C o n s i d e r space t h e space g i v e n space e x p r e s s i o n colon L H S equals fraction numerator 1 plus 2 tan squared theta over denominator cos squared theta end fraction space space space space space space space equals fraction numerator 1 plus t a n squared theta plus t a n squared theta over denominator c o s squared theta end fraction space space space space space space space equals fraction numerator open parentheses 1 plus tan squared theta close parentheses plus t a n squared theta over denominator c o s squared theta end fraction space space space space space space space equals fraction numerator s e c squared theta plus t a n squared theta over denominator c o s squared theta end fraction space space space space space space space equals fraction numerator 1 over denominator cos squared theta end fraction open parentheses s e c squared theta plus tan squared theta close parentheses space space space space space space space equals s e c squared theta open parentheses s e c squared theta plus t a n squared theta close parentheses space space space space space space space equals s e c to the power of 4 theta plus s e c squared theta cross times t a n squared theta P l e a s e space c h e c k space y o u r space q u e s t i o n.

Answered by Vimala Ramamurthy | 21st Jul, 2015, 10:28: AM