Math, asked by kitty555, 1 year ago

find the value of sin 15°by using identities plzz if u know then only ans ...no spamm best ans will mark as brainliest​

Answers

Answered by irshadkwt99
2

Answer:0.258

Step-by-step explanation:

Using the Half Angle Formula:

sin2(x)=12[1−cos(2x)]

with x=15° and 2x=30°

you get:

sin2(15°)=12[1−cos(30°)]

knowing that: cos(30°)=√32:

sin2(15°)=12[1−√32]

sin2(15°)=2−√34=0.067

So:

sin(15°)=±√0.067=±0.258

We choose the positive one.

Answered by udaykumartiger94
2

Answer:

sin15°=sin(30°-45°)

we know that

sin(x-y)=sin x.cos y-cos x.sin y

putting x=30° y=45°

sin(30°-45°)=sin30°.cos45°-cos30°.sin

45°=1/2×1/√2-√3/2×1/√2

=√3-1/2√2.

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