Friday

March 27, 2015

March 27, 2015

Posted by **Anonymous** on Monday, March 3, 2008 at 4:49pm.

Verify the identity.

a= alpha, b=beta, t= theta

1. (1 + sin a) (1 - sin a)= cos^2a

2. cos^2b - sin^2b = 2cos^2b - 1

3. sin^2a - sin^4a = cos^2a - cos^4a

4. (csc^2 t / cot t) = csc t sec t

5. (cot^2 t / csc t) = csc t = sin t

- verifying trigonometric identities -
**^quen^**, Tuesday, March 4, 2008 at 8:46pmLearn your identites well in order to prove these.

1. (1+sina) (1-sina)

= 1-sina+sina-sin^2a

= 1-sin^2a

= cos^2a (according to identity)

2. cos^2b-sin^2b

you know that sin^2b = 1-cos^2b, so:

cos^2b-(1-cos^2b)

=cos^2b-1+cos^2b

=2cos^2b-1

3. sin^2a - sin^4a=

= sin^2a- (sin^2a)(sin^2a)

=(1-cos^2a)-(1-cos^2a)(1-cos^2a)

=1-cos^2a- (1-2cos^2a+cos^4a)

=1-cos^2a-1+2cos^2a-cos^4a

=cos^2a-cos^4a

I hope you can do the rest by yourself ;)

- verifying trigonometric identities -
**Anonymous**, Saturday, December 13, 2008 at 6:46pm1-sin^2B

------------- = csc^2B-sec^2B

sin^2Bcos^2B

**Answer this Question**

**Related Questions**

Mathematics - Trigonometric Identities - Let y represent theta Prove: 1 + 1/tan^...

algebra - Can someone please help me do this problem? That would be great! ...

Pre Calc. - Use the sum or difference identity to find the exact value of sin255...

trig - express 20sin theta + 4 cos theta as R sin(theta + alpha) R sin(theta + ...

Math - Calculus - The identity below is significant because it relates 3 ...

Mathematics - Trigonometric Identities - Prove: sin^2x - sin^4x = cos^2x - cos^...

TRIG! - Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6...

tigonometry - expres the following as sums and differences of sines or cosines ...

Precalculus - Verify the identities. Cos^2x - sin^2x = 2cos^2x - 1 When ...

math - How would you establish this identity: (1+sec(beta))/(sec(beta))=(sin^2(...