Question

Simplify the expression (Picture provided)

Answer 1

cos(x)csc(x)tan(x) = 1

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.

Answer 2

c. 1

Explanation:

The given expression is

`\cos(x) \csc(x) \tan(x)`

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

`\cos(x) * (1)/(\sin(x)) * (\sin(x))/(\cos(x))`

We cancel out the common factors to obtain;

`(1)/(1) =1`