Question

1. Given that sinθ=x4.

Which expression represents θ in terms of x?


a. arcsin(x4)

b. sin(x4)

c. arccos(x4)

d. cos(x4)

2. What is the value of arcsin(√3/2) in degrees?

3. What is the value of arcsin(−3√2)?
Thank you so much for attempting/answering these...

Answer 1

Hope this helps you.

Answer 2

Part 1) option a
`\theta=arcsin(x^(4))`

Part 2)
`60\°`

Part 3)
`-60\°`

Explanation:

Part 1) Which expression represents θ in terms of x?

we have

`sin(\theta)=x^(4)`

so

`\theta=sin^(-1)(x^(4))=arcsin(x^(4))`

Part 2) What is the value of arcsin(√3/2) in degrees?

Let

`\theta` ----> the angle

we know that

`sin(\theta)=√(3)/2`

`\theta=arcsin(√(3)/2)=60\°`

Part 3) What is the value of arcsin(-√3/2) in degrees?

Let

`\theta` ----> the angle

we know that

`sin(\theta)=-√(3)/2`

`\theta=arcsin(-√(3)/2)=-60\°`