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Posted by **RUDY** on Thursday, December 13, 2012 at 10:58am.

11. Prove that tanλ cos^2λ +sin^2λ/sinλ = cos λ + sin λ.

12. Prove that 1+tanθ/1+tanθ = sec^2θ+2tanθ/ 1-tan^2θ.

21. Prove that sin^2w-cos^2w/ tan w sin w + cos w tan w = cos w – cot w cos w.

- trigo math -
**Steve**, Thursday, December 13, 2012 at 11:17amtan*sin+cos

= sin^2/cos + cos

= (sin^2+cos^2)/cos

= 1/cos

= sec

(tan*cos^2 + sin^2)/sin

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

= sin(cos+sin)/sin

= cos+sin

I think you mean

(1+tan)/(1-tan)

= (1+tan)^2/(1-tan^2)

= (1+2tan+tan^2)/(1-tan^2)

= (sec^2+2tan)/(1-tan^2)

the last one needs some parentheses. Too complicated and ambiguous

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