QUESTION 6Convert the angle in degrees to radians. Express the answer as multiple of .-90 - - - -
Question
QUESTION 6
Convert the angle in degrees to radians. Express the answer as multiple of .
-90 - - - -
Solution
1. Break Down the Problem
To convert an angle from degrees to radians, we need to identify the degree measure and apply the conversion formula. The formula for this conversion is given by: In this case, the angle is degrees.
2. Relevant Concepts
Using the formula mentioned:
- We need to substitute for degrees.
- We need to simplify the result to express it in terms of .
3. Analysis and Detail
Substituting the value into the formula: Next, we simplify the expression: This further simplifies to:
4. Verify and Summarize
The angle of degrees converts to radians as . This verifies our calculations.
Final Answer
The angle degrees in radians is:
Similar Questions
Convert the following angle from degrees to radians. Express your answer in terms of and in simplest form.60°60°
The radian measure of an angle in standard position is -2023π/6. In what quadrant will its terminal side lies?
Convert the angle start fraction, pi, divided by, 3, end fraction 3π radians to degrees.
Convert the angle start fraction, pi, divided by, 2, end fraction 2π radians to degrees.
–𝜋2≤θ≤𝜋2. Find the value of θ in radians.sin(θ)=–12Write your answer in simplified, rationalized form. Do not round.θ=
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.