THE VALUE OF SIN 75 DEGREE
Answers
Answer:
Sin(A+B) = Sin A Cos B + Cos A Sin B. Sin 75 = Sin ( 45 + 30) = Sin 45 Cos 30 + Cos 45 Sin 30. Sin 75 = (1 / √2) ( √3 / 2) + (1 / √2) ( 1 / 2) = [ √3 + 1] / 2√2
Answer:
6+√2/4 or -0.3877816354
Step-by-step explanation:
exactly?
Given Sin 75° = ?
Step 1: Here, we can write Sin 75° as Sin (45°+30°) or Sin (30°+45°)
Step 2: So I take Sin (45°+30°)
Step 3: It is in the form of Sin(A+B) formula,
: ) Sin (A+B)=SinA.CosB + CosA.SinB
here A = 45°, B = 30° then
Step 4: According to Sin (A+B) formula,
=> Sin45°.Cos30°+Cos45°.Sin30°
=> (1 / √2).(√3 / 2)+(1 / √2).(1 / 2)
=> (√3 / 2√2) + (1 / 2√2)
Rationalize the denominator,
=> (√3+1/ 2√2) . (2√2 / 2√2)
=> (2√2.√3 + 2√2) / 4x2
=> (2√6 + 2√2) / 8
Take 2 as common,
=> 2 (√6 + √2) / 8
Therefore the resultant answer is
=> √6 + √2 / 4