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3 years ago

Which of the following could be used as a reference angle for 15 pi / 4

Mathematics

1 answer:

Kamila [148]3 years ago

6 0

Answer:

$\frac{\pi }{4}$ could be used as a reference angle for $\frac{15\pi }{4}$ .

Step-by-step explanation:

Given the trigonometric expression

$\frac{15\pi }{4}$

In order to find the reference angle for $\frac{15\pi }{4}$ , find an angle that is positive, less than $2\pi$ , and coterminal with

Subtract $2\pi$ from $\frac{15\pi }{4}$ .

$\frac{15\pi }{4} -2\pi$

The resulting angle of $\frac{7\pi }{4}$ is positive, less than $2\pi$ , and coterminal with $\frac{15\pi }{4}$ .

$\frac{7\pi }{4}$

Since the angle $\frac{7\pi }{4}$ is in the fourth quadrant, subtract

$2\pi-\frac{7\pi }{4}=\frac{\pi }{4}$

Therefore, $\frac{\pi }{4}$ could be used as a reference angle for $\frac{15\pi }{4}$ .

Keywords: reference angle

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RSB [31]

Answer:

$m\angle a=48^o\\m\angle b=82^o\\m\angle c=50^o$

Step-by-step explanation:

we know that

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substitute the given values

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$m\angle c=5(12)-10)=50^o$

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3 years ago

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mote1985 [20]

Answer:

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Step-by-step explanation:

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Dafna1 [17]

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