If (3\theta+45^\circ) and (\theta-135^\circ) are coterminal, what is one value of ( \theta )?
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Answer and explanation
Correct answer: (90^\circ)
(3\theta+45^\circ-(\theta-135^\circ)=360^\circ) gives (2\theta+180^\circ=360^\circ) and ( \theta=90^\circ ). Keep the difference as a multiple of (360^\circ).
Frequently asked questions
What is the correct answer to this question?
(90^\circ)
Why is this the correct answer?
(3\theta+45^\circ-(\theta-135^\circ)=360^\circ) gives (2\theta+180^\circ=360^\circ) and ( \theta=90^\circ ). Keep the difference as a multiple of (360^\circ).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
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