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Homework Help: Precalculus check answers help!

Posted by Kelsey on Wednesday, May 30, 2012 at 12:42am.

1.) Find an expression equivalent to sec theta sin theta cot theta csc theta.
tan theta
csc theta
sec theta ~
sin theta

2.) Find an expression equivalent to cos theta/sin theta .
tan theta
cot theta ~
sec theta
csc theta

3.) Simplify (tan^2 theta + 1)/(tan^2 theta) .
csc2 theta
–1
tan2 theta
1 ~

4.) Use a sum or difference identity to find the exact value of sin 15°.
-(sqrt)2 - (sqrt)6/ 4
(sqrt)6 - (sqrt)2/ 4 ~
(sqrt)6 + (sqrt)2/ 4
(sqrt)2 - (sqrt)6/ 4

5.) Which expression is equivalent to cos (theta – 2pi)?
–cos theta
sin theta
cos theta ~
–sin theta

the ones with ~ are my answers!

• Precalculus check answers help! - Pendergast, Wednesday, May 30, 2012 at 12:46am

  1), 3) check your algebra
  
  4) I'm not sure where you went wrong on this one. However, sqrt(6)-sqrt(2)/4 is greater than 1 (2.0959 in fact)
  
  2), 5) are correct
  

• Precalculus check answers help! - Kelsey, Wednesday, May 30, 2012 at 12:59am

  is 3 -1?
  and im not sure what i did on number 1 ? please explain.
  

• Precalculus check answers help! - Reiny, Wednesday, May 30, 2012 at 7:25am

  1)
  secØ sinØ cotØ cscØ
  = (1/cosØ)(sinØ)(cosØ/sinØ)(1/sinØ)
  = 1/sinØ
  = cscØ
  

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