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Tomtit [17]
3 years ago
10

Use a sum or difference formula to find the exact value of the trigonometric function. sine startfraction 7 pi over 12 endfracti

onsin 7π 12
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
4 0
We have that
<span>sin (7π/12)=?

we know that
</span>7π/12=(π/4+π/3)
and 
<span><span>sin<span>(A+B)</span>=sin<span>(A)</span>cos<span>(B)</span>+cos<span>(A)</span>sin<span>(B)

then
</span></span>sin(π/4+π/3)=sin(π/4)cos(π/3)+cos(π/4)sin(π/3)
sin(π/4+π/3)=(√2/2)(1/2)+(√2/2)(√3/2)-------> (√2/4)+(√6/4)---> (√2+√6)/4

the answer is (√2+√6)/4

</span>
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