Get an answer in 5 minutes Ask a question to our educators
MATHS

# Hi,I really struggling with trigonometric equations and this is one of the questions I’m stuck on, thank you for any help. Solve sin(2x-60°)=0.5 for 0°≤x≤360°?

Applying arcsin to both sides: 2x - 60 = arcsin(0.5) Rearranging for x: x = 0.5(arcsin(0.5) + 60) arcsin(0.5) = 30 degrees All solutions of x: 45, 225 (= 45 + 180) You can also do this by drawing a y = sin(x) graph, the 2x will mean the graph ‘travels 2 times faster’ i.e will cross 1 at 45 degrees rather than 90. The (- 60) will mean its lagging 60 degrees behind so translate the graph 60 degrees to the left, when it would’ve crossed 1 on the scars graph at 45 degrees, will now cross 1 at -15 degrees.  Hubert Kaluzny
·

1.1k students helped

## What is Q&A on Scoodle?

At Scoodle we understand that everyone learns in a different way. Some people learn through practice, using essays and notes; others prefer video lessons to watch and learn, some just need help with a specifically hard question, while some learn best 1-on-1 tutoring sessions. At Scoodle we cater for all types of learning styles and needs. From GCSE Maths video lessons to A-level English essays and specialist educators in every subject - we’ve got you covered.   Scoodle has helped over 131,000 students so far

Need help with Maths?

Getting expert help from a tutor is a great way to improve your Maths grades.

## Discover learning resources by tutors

Learn Maths with Video Lessons