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.
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
