Step 1:

(1)

The trigonometric expression is and is positive.

Here lies in quadrant III.

In quadrant III, tangent and cotangent functions are positive and remaining functions are negative.

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From Pythagorean theorem,

The square of the hypotenuse is equal to sum the squares of the other two sides.

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In quadrant III, cosine functions is negative.

.

.

.

Solution :

and .

Step 2:

(2)

The identity is .

Multiple and divide with .

Pythagorean identity : .

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Option (A) is the correct answer.

Solution :

.