1. Given that sinθ=x4.

Which expression represents θ in terms of x?


Aarcsin(x4)

Bsin(x4)

Carccos(x4)

Dcos(x4)

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

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

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Answer:

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

Part 2) \(60\°\)

Part 3) \(-60\°\)

Step-by-step 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

\(sin(\theta)=\sqrt{3}/2\)

\(\theta=arcsin(\sqrt{3}/2)=60\°\)

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

Let

\(\theta\) ----> the angle

we know that

\(sin(\theta)=-\sqrt{3}/2\)

\(\theta=arcsin(-\sqrt{3}/2)=-60\°\)