Wednesday

July 30, 2014

July 30, 2014

Posted by **Anonymus** on Monday, February 28, 2011 at 5:04pm.

- Math -
**Anonymous**, Monday, February 28, 2011 at 6:51pmRewrite equation:

tan^2(x)+6=sec^2(x)+5

6-5=sec^2(x)tan^2(x)

sec^2(x)-tan^2(x)=1

Now you must verify that:

sec^2(x)-tan^2(x)=1

tan(x)=sin(x)/cos(x)

tan(x)=sin(x)*sec(x)

tan^2(x)=sin^2(x)*sec^2(x)

sec^2(x)-tan^2(x)=

sec^2(x)-sin^2(x)*sec^2(x)=

sec^2(x)*[1-sin^2(x)]

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

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

sec^2(x)*[1-sin^2(x)]=

sec^2(x)*cos^2(x)

sec(x)=1/cos(x)

sec^2(x)=1/cos^2(x)

sec^2(x)*cos^2(x)=

[1/cos^2(x)]*cos^2(x)=1

**Related Questions**

Integration - Intergrate ¡ì sec^3(x) dx could anybody please check this answer. ...

Math - Trigonometry - Verify the following: 1. cos x/(1-sinx)= sec x + tan x 2...

calculus (check my work please) - Not sure if it is right, I have check with the...

calculus - find dy/dx y=ln (secx + tanx) Let u= secx + tan x dy/dx= 1/u * du/dx ...

Trigonometry - How do you verify the equation is an identity? Tan^2x-tan^2y=sec^...

Calculus 12th grade (double check my work please) - 2- given the curve is ...

calculus - So I am suppose to evaulate this problem y=tan^4(2x) and I am ...

Calculus AP - I'm doing trigonometric integrals i wanted to know im doing step ...

Trig - Verify the given equations: ____1______ + ____1_______ = -2 tanθ tan...

Trigonometry - Verify/Solve the identities. 1.) SIN^1/2 X COS X-SIN^5/2 X COS X ...