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zzz [600]
2 years ago
5

If sine of the quantity x plus y end quantity equals one half times sine of x plus radical 3 over 2 times cosine of x. What is t

he value of y?
A. pi over 2

B. pi over 3

C. pi over 4

D. pi over 6

Mathematics
1 answer:
miskamm [114]2 years ago
8 0

The value of y from the given trig expression is pi/3 rad

<h3>Trigonometry identity</h3>

These identities are expressed in terms of sine, cosine and tangent

Given the expression

sin(x+y)=\frac{1}{2}sinx+\frac{\sqrt{3}}{2} cosx


Expand sin(x+y)

sin(x+y) = sinxcosy + cosxsiny

Compare both equations

cosy = 1/2

y = arccos(1/2)

y = 60 degrees

y = pi/3 rad

Hence the value of y from the given trig expression is pi/3 rad

Learn more on trig function here: brainly.com/question/24349828

#SPJ1

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This is a terrible question. Send the publisher a nasty note.

First let's answer the question.

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---------

Now I'm going to complain about the question.  24/25 is of course 0.96 exactly, while

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The cosine of 16 degrees is some awfully complicated algebraic number, a zero of some high degree polynomial with integer coefficients.  Worse yet, the angle whose cosine is 24/25 is almost certainly a transcendental number, not the zero of any such polynomial.

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