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3 years ago

Select all of the true equations.

Mathematics

1 answer:

Paraphin [41]3 years ago

6 0

Answer:

cos(63)=y/15

tan(27)=y/x

sin(63)=x/15

Step-by-step explanation:

You need to memorize the definitions of all the trig functions. Then these types of problems will be easy for you. OK?

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Step-by-step explanation:

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Convert 12 and a half hours into a decimal.=12.5

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3 years ago

Read 2 more answers

1. A sine function has the following key features

strojnjashka [21]

Answer:

1) $y= 2sin(\frac{1}{2}x) + 2$

2) $y= 3sin(\frac{\pi}{2}x)-1$

3) $y= 2sin(2x) -2$

Step-by-step explanation:

General form of sin function is

$y= Asin(Bx) + C$

Where A is Amplitude

B is $\frac{2\pi}{\text{Period}}$

C is Mid line

1) Given : A sine function has the following key features

Frequency = $\frac{1}{4\pi}$

Period is $P=\frac{1}{f}=\frac{1}{\frac{1}{4\pi}}=4\pi$

Amplitude= 2

Mid line y= 2

Y intercept (0,2)

This function is NOT a reflection of its parent function of the x-axis

Solution : We put the value in the general form of sin function

A= 2 , $B=\frac{2\pi}{4\pi}=\frac{1}{2}$ , C=2

$y= Asin(Bx) + C$

$y= 2sin(\frac{1}{2}x) + 2$

2) Given : A sine function has the following key features

Period = 4

Amplitude = 3

Mid line y = -1

Y intercept (0,-1)

Solution : We put the value in the general form of sin function

A= 3 , $B=\frac{2\pi}{4}=\frac{\pi}{2}$ , C=-1

$y= Asin(Bx) + C$

$y= 3sin(\frac{\pi}{2}x)-1$

3) Given : A sine function has the following key features

Period = $\pi$

Amplitude = 2

Mid line y = -12

Y intercept (0,-2)

Solution : We put the value in the general form of sin function

A= 2 , $B=\frac{2\pi}{\pi}=2$ , C=-2

$y= Asin(Bx) + C$

$y= 2sin(2x) -2$

5 0

3 years ago