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#### guinessvolley

##### New member

- May 15, 2019

- 1

(sinx+cosx)/(secx+cscx)= sinxcosx

if you could list out the steps it would be appreciated

- Thread starter guinessvolley
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- Thread starter
- #1

- May 15, 2019

- 1

(sinx+cosx)/(secx+cscx)= sinxcosx

if you could list out the steps it would be appreciated

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- #2

Since the RHS is in terms of the sine and cosine functions, the first thing I would do is write the LHS in terms of these functions only:

\(\displaystyle \frac{\sin(x)+\cos(x)}{\dfrac{1}{\cos(x)}+\dfrac{1}{\sin(x)}}\)

Now, combine terms in the denominator...what do you get?