Answer:
The answer is 1
Step-by-step explanation:
First of all transform the expression using trigonometric identities
That's
[tex] \sec(x) = \frac{1}{ \cos(x) } [/tex]
[tex] \csc(x ) = \frac{1}{ \sin(x) } [/tex]
[tex] \cot(x) = \frac{1}{ \tan(x) } [/tex]
So we have
[tex] \frac{1}{ \cos(x) } \times \tan(x) \times \frac{1}{ \sin(x) } \times \frac{1}{ \tan(x) } \times \sin(x) \times \cos(x) [/tex]
Reduce the expression with tan x
We have
[tex] \frac{1}{ \cos(x) } \times \cos(x) \times \frac{1}{ \sin(x) } \times \sin(x) [/tex]
Reduce the expression with cos x
That's
[tex]1 \times \frac{1}{ \sin(x) } \times \sin(x) [/tex]
Reduce the expression with sin x
We have
[tex]1 \times 1[/tex]
We have the final answer as
1
Hope this helps you
