Some Applications Of Trigonometry

To solve the problem, we are given that , and we are asked to find the value of:

1. Express sin θ and cos θ in terms of a and b:
Given , we can construct a right triangle where:
- Adjacent side = b
- Opposite side = a
- Hypotenuse =

So, from the triangle:

2. Substitute into the expression:

3. Final simplification:

Final Answer:
The correct answer is option (B): .

To solve this problem, we need to evaluate the expression:

1. Given Expression:

2. Use the Known Value:
We know that:

3. Substitute into the Expression:

Final Answer:
Option (A) 0 is correct.