Question:
What is the value of sin 75°?
sin 75° का मान क्या है?
Options:
- a) (√6+√2)/4
- b) (√6-√2)/4
- c) (√3+1)/2√2
- d) Both A and C
- a) (√6+√2)/4
- b) (√6-√2)/4
- c) (√3+1)/2√2
- d) A और C दोनों
correct answer : d)
Explanation:
sin 75° = sin(45°+30°) = sin45.cos30+cos45.sin30 = (1/√2)(√3/2)+(1/√2)(1/2) = (√3+1)/(2√2) = (√6+√2)/4. So both A and C are equivalent.
sin 75° = sin(45°+30°) = (√6+√2)/4 = (√3+1)/2√2। दोनों A और C सही हैं।