Question

16. Given that Sin (A+B) = Sin A Cos B + Cos A Sin B, Find the value of Sin75º.​

Answer 1

Answer:

sin(45°+30°)= sin45.cos30+ cos45.sin30

1/√2+1/2=(√2+1)

Step-by-step explanation:

VALUE OF SIN 75° IS (√2+1).

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Answer 2

Answer:

ANSWER IS (1+√3)/2√2

Step-by-step explanation:

Since, we need to find Sin75°

therefore, let A = 30° , B = 45°

Because we need A+B = 75°

Now, Sin(A+B) = Sin75°

= Sin 30 Cos 45 + Sin 45 Cos 30

Evaluating the above terms

= 1/2 *1/√2 + √3/2 *1/√2

= 1/2√2 + √3/2√2

= (1+√3)/2√2

So

we have Sin(30°+45°) = Sin75° = (1+√3)/2√2

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