1.A sinusoidal function whose period is π/2

, maximum value is 10, and minimum value is −4 has a y-intercept of 3.

What is the equation of the function described?

f(x)=7sin(4πx)+3

f(x)=7cos(4πx)+3

f(x)=7sin(4x)+3

f(x)=7cos(4x)+3

2.

Let tan(x)=2/5

.

What is the value of tan(π+x)

?

5/2

−2/5

2/5

−5/2

3.What is the exact value of arcsin(−3√2)

?

Enter your answer, in terms of π

in the box.

Guest Jun 5, 2018

#1**+1 **

1

The normal height of a sin or cos fxn is from 1 to -1 for a total height of 2 the requested fxn has a height of 10-(-4)=14 which is 7 times higher, so it is a wave multiplied by 7

7 cos or 7 sin it is shifted UP by 3 ...so add 3

7cos() +3 or 7sin() + 3

Period of sin or cos wave is 2pi for a period of pi/2 you have to multiply by 4

it is 3 at x=0 so it is a sin wave

7 sin(4x) + 3

2.Tan = sin/cos if you add pi, both the sin and cos become opposite (negative), so tan still equals 2/5

2/5

3.

The value of sin is between 1 and -1 (inclusive) so this question is invalid.

If you MEANT - sqrt(3) /2 then 4pi/3 or 5pi/3 would work

Guest Jun 5, 2018

edited by
Guest
Jun 5, 2018

edited by Guest Jun 5, 2018

edited by Guest Jun 5, 2018