Question

Simplify the expression (Picture provided)

Answer 1

Answer:

c. 1

Step-by-step explanation:

The given expression is

$\cos(x) \csc(x) \tan(x)$

We express everything in terms of sine and cosine to obtain;

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

We cancel out the common factors to obtain;

$\frac{1}{1} =1$

Answer 2

Answer:

cos(x)csc(x)tan(x)  =  1

Step-by-step explanation:

We have given a trigonometric expression.

cos(x)csc(x)tan(x)

We have to simplify the above expression.

Since, we know that

Tan(x) is ratio of sin(x) and cos(x).

Tan(x)   =  sin(x)/cos(x)

csc(x) is reciprocal of sin(x).

csc(x)   =   1/sin(x)

Putting above values in given expression,we have

cos(x)csc(x)tan(x)  =  cos(x) × 1/sin(x) × sin(x)/cos(x)

cos(x)csc(x)tan(x)  =  1 which is the answer.