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lukranit [14]
3 years ago
8

TRIGONOMETRY PLEASE !!!

Mathematics
1 answer:
prohojiy [21]3 years ago
4 0

Answer:

45.6=x

Step-by-step explanation:

We can use law of cosines since three sides are given and we are asked to find an angle.

c^2=a^2+b^2-2ab\cos(C)

Angle C is the angle that is opposite to the side c.

So here x is our Angle C and the side opposite to that is 11 which makes it c for this formula.

This means a=8 and b=15 (or other way around-doesn't matter).

Let's plug in:

11^2=8^2+15^2-2(8)(15)\cos(x)

Simplify the terms with exponents:

121=64+225-2(8)(15)\cos(x)

Perform the multiplication next to the trig function:

121=64+225-240\cos(x)

Add 64 and 225:

121=289-240\cos(x)

Our goal is to isolate the trig function.

Subtract 289 on both sides:

121-289=-240\cos(x)

Simplify left hand side:

-168=-240\cos(x)

Divide both sides by -240:

\frac{-168}{-240}=\cos(x)

Simplify left hand side:

0.7=\cos(x)

Take cosine's inverse on both side:

\cos^{-1}(0.7)=x

Type left hand side into calculator:

45.6=x

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