Question

Simplify the trigonometric expression.

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

Answer 1

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

Answer 2

im having trouble with the common denominator

Answer 3

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...

Answer 4

working...

Answer 5

just 1 x 1?

Answer 6

nope its

\[\cos(x) \times \frac{\cos(x)}{1} + \sin(x) \times \frac{\sin(x)}{1} = \]

Answer 7

=1

Answer 8

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

Answer 9

1 is the correct answer... and it uses the identity

\[\sin^2(x) + \cos^2(x) = 1\]

Answer 10

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

Answer 11

thanks for your time