Homework Help: trigo math

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

7. Prove that tan B sin B + cos B = sec B.

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 11:17am
tan*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

Answer this Question

Related Questions

trignonmetry - 6. Prove that tan λ cos^2 λ + sin^2λ/...
Trigonometry - 1.Solve tan^2x + tan x – 1 = 0 for the principal value(s) to...
trigonometry hlp me - 6.Prove that tan y cos^2 y + sin^2y/sin y = cos y + sin &#...
Math- Trig - 1. Determine the exact value of cos^-1 (pi/2). Give number and ...
trigonometry - 5.Find the complete exact solution of sin x = -√3/2. 10...
Mathematics - Trigonometric Identities - Let y represent theta Prove: 1 + 1/tan^...
Integration - Intergrate ¡ì sec^3(x) dx could anybody please check ...
math - Prove these identites I really need help with these I dont understand ...
math - Prove these identites I really need help with these I dont understand how...
Math - Prove these identites I really need help with these I dont understand ...

For Further Reading

First Name:
School Subject:
Answer: