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2 years ago

Can someone help me please

Mathematics

1 answer:

Westkost [7]2 years ago

5 0

Answer:

10. 20.9°

11. 73.2°

Step-by-step explanation:

The inverse sine function is used to find the angle from its sine value.

In each case, the equation is of the form ...

a/sin(x) = b/c

Multiplying both sides by c/b·sin(x), we find the solution is ...

sin(x) = ac/b . . . . . find sin(x)

x = arcsin(ac/b) . . . . . find the corresponding angle

For the given values a=7.2, b=13, c=sin(40°), we have ...

x = arcsin(7.2sin(40°)/13) ≈ 20.9°

For the given values a=6.53, b=√40, c=sin(68°), we have ...

x = arcsin(6.53sin(68°)/√40) ≈ 73.2°

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Assume cos T = .45 and cos W = .89, both T and W are positive, and both T and W determine a terminal point in Quadrant 4. which

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As both $T$ and $W$ determine terminal points in the fourth quadrant, we know that both angles fall between $270^\circ$ and $360^\circ$ . We also know that $0$ for $270$ , and that $\cos x$ is strictly increasing along this interval.

This means that the angle with the larger cosine value must be closer to having a measure of 360 degrees than the angle with the smaller cosine value, so $W>T$ .