Simplify trig. expressions using identities? I would appericate any help given.

1.Simplify:

Cos(3pi/2-Beta)

I have no idea how to solve?

2.Simplify:

(secB-1)(Sec B+1)

Would the answer be **-tan**^{2}B ?

3. Simplify: fractions

1+sin x cos x

_____ + _____

cos x 1+sin x

Would the answer be **2 sec x** ?

4: Simplify:

1-(sin theta - cos theta)^{2}

____________________

sin theta

Re: Simplify trig. expressions using identities? I would appericate any help given.

Quote:

Originally Posted by

**SoConfused123** 1.Simplify:

Cos(3pi/2-Beta)

I have no idea how to solve?

cos(a-b) = cos(a)cos(b)+sin(a)sin(b)

2.Simplify:

(secB-1)(Sec B+1)

Would the answer be **-tan**^{2}B ?

+tan^{2}(b)

3. Simplify: fractions

1+sin x cos x

_____ + _____

cos x 1+sin x

Would the answer be **2 sec x** ?

yes

4: Simplify:

1-(sin theta - cos theta)^{2}

____________________

sin theta

I cannot get pass

1- sin^{2} theta - cos^{2} theta

____________________

sin theta

uhh ... (sint - cost)^{2} = sin^{2}t - 2sint cost + cos^{2}t

...

Re: Simplify trig. expressions using identities? I would appericate any help given.

Thank you for your help.

So would #1 be Cotan Beta?

And #4 be Tan theta?

Re: Simplify trig. expressions using identities? I would appericate any help given.

Quote:

Originally Posted by

**SoConfused123** Thank you for your help.

So would #1 be Cotan Beta? no ... it would be -sin(b)

And #4 be Tan theta and no ... it would be 2cos(t)

...

Re: Simplify trig. expressions using identities? I would appericate any help given.

Oh...I'm horrible at this.

Well thank you.