Simplify the trigonometric expression.

(cos(x)/sec(x))+(sin(x)/csc(x))

Question

Simplify the trigonometric expression.
 
(cos(x)/sec(x))+(sin(x)/csc(x))

anonymous · Answer

cos x/ (1/cos x) + sin x/ (1/sin x)

anonymous · Answer

im having trouble with the common denominator

campbell_st · Answer

sec = 1/cos   and scs = 1/sin

so 

so you have 

$$\frac{\cos(x)}{\frac{1}{\cos(x)}}  +\frac{\sin(x)}{\frac{1}{\sin(x)}} $$

the rule for dividing by a fraction is to flip and multiply

hope this helps as the answer should become obvious...

anonymous · Answer

working...

anonymous · Answer

just 1 x 1?

campbell_st · Answer

nope its 

$$\cos(x) \times \frac{\cos(x)}{1} + \sin(x) \times \frac{\sin(x)}{1} = $$

anonymous · Answer

=1

campbell_st · Answer

now it should become really obvious... its interesting in that your answer is correct but your working is all wrong...

campbell_st · Answer

1 is the correct answer... and it uses the identity 

$$\sin^2(x) + \cos^2(x) = 1$$

anonymous · Answer

weird, i'll keep working on it i have a few more problems to work on

anonymous · Answer

thanks for your time