Question

what is the value of sin75​

Answer 1

Answer:

√3+1/2√2

Explanation:

Sin75=( sin45+30)

=> sin45 cos30+cos45 sin30

=> 1/2 *√3/2 +1/√2 *1/2

=> √3+1/2√2

Answer 2

Answer:

(1+√3)/(2√2)

Explanation:

sin(A+B) ≡ sin(A)cos(B) + sin(B)cos(A)

⇒ sin(75°) = sin(30+45)° = sin(30°)cos(45°) + sin(45°)cos(30°)

= ½ × 1/√2 + 1/√2 ×(√3)/2 = 1/(2√2) + (√3)/(2√2)

= (1+√3)/(2√2)