Rajan kannaujiya
Rajan kannaujiya
6 years ago

What is the value of sin 345

Solution(By Examveda Team)

we know that
345 = 300 + 45
Now let use the formula
sin(A + B) = sinAcosB + sinBcosA, we have
sin300cos45 + sin45cos300 =
(-√3/2)(1/√2) + (1/√2)(1/2) =
-√3/ (2√2) + 1/(2√2) =
[ 1 - √3 ] / (2√2) and rationalizing the denominator, we have
√2 [ 1 - √3] / 4 =
(√2 - √6) / 4

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