Question

If 12²θ-31θ+32=0, then the value of θ is

• A. (3)/(5) or 1
• B. (2)/(3) or -(2)/(3)
• C. (4)/(5) or (3)/(4)
• D. ±(1)/(2)

Hint:

Convert trigonometric equations to a single function.

Answer 1

The Correct Option is A

Step 1: Express ²θ=(²θ)/(²θ).
Step 2: Solve the resulting quadratic in θ.
Step 3: Corresponding θ values are (3)/(5) and 1.