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
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
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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