Calculus Trigonometric

Obe

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Nov 27, 2021
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Consider the following simultaneous equations:

3 cos^2 ? + 2 cos^2 ? =4

3 sin 2 ? − 2sin 2 ?=0

Find the values of cos 2? and cos 2?.

Hence solve for ? and ?. Where 0°≤?≤360° and 0°≤?≤360°.
 
Consider the following simultaneous equations:

3 cos^2 ? + 2 cos^2 ? =4

3 sin 2 ? − 2sin 2 ?=0

Find the values of cos 2? and cos 2?.

Hence solve for ? and ?. Where 0°≤?≤360° and 0°≤?≤360°.
Use of parentheses is highly recommended to write:

3 cos^2 (?) + 2 cos^2 (?) = 4 .........................................................(1)

3 sin (2 ?) − 2 sin (2 ?) = 0 ..............................................................(2)
I have not worked on this problem, but

If I were to finish this assignment, I would square the second equation and then converting those equations to either sine or cosine.​
Please show us what you have tried and exactly where you are stuck.

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Please share your work/thoughts about this problem.
 
Consider the following simultaneous equations:

3 cos^2 ? + 2 cos^2 ? =4

3 sin 2 ? − 2sin 2 ?=0

Find the values of cos 2? and cos 2?.

Hence solve for ? and ?. Where 0°≤?≤360° and 0°≤?≤360°.
My first thought was to rewrite the first equation in terms of cos(2?) and cos(2?), using the power-reduction formula.

And I have carried this out, so I can tell you it will work.
 
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