Question:
If sin x = cos(2x + 15°), what is the value of x?
यदि sin x = cos(2x + 15°), तो x का मान क्या है?
Options:
- a) 20°
- b) 30°
- c) 25°
- d) 15°
- a) 20°
- b) 30°
- c) 25°
- d) 15°
correct answer : c)
Explanation:
sin A = cos B implies A + B = 90°. Therefore, x + 2x + 15° = 90° => 3x = 75° => x = 25°.
sin A = cos B का अर्थ है A + B = 90°. इसलिए, x + 2x + 15° = 90° => 3x = 75° => x = 25°.