Question

Simplify please and show steps: Sec (x) tan (x) csc (x) cot (x) sin (x) cos (x)

Answer 1

Answer:

The answer is 1

Step-by-step explanation:

First of all transform the expression using trigonometric identities

That's

$\sec(x) = \frac{1}{ \cos(x) }$

$\csc(x ) = \frac{1}{ \sin(x) }$

$\cot(x) = \frac{1}{ \tan(x) }$

So we have

$\frac{1}{ \cos(x) } \times \tan(x) \times \frac{1}{ \sin(x) } \times \frac{1}{ \tan(x) } \times \sin(x) \times \cos(x)$

Reduce the expression with tan x

We have

$\frac{1}{ \cos(x) } \times \cos(x) \times \frac{1}{ \sin(x) } \times \sin(x)$

Reduce the expression with cos x

That's

$1 \times \frac{1}{ \sin(x) } \times \sin(x)$

Reduce the expression with sin x

We have

$1 \times 1$

We have the final answer as

1

Hope this helps you