Trig. equation: solve 〖cos〗^2 x = 1.5 ×〖sin 〗^2 x on 1st period

[MaxRothstein]

Trig. equation: solve 〖cos〗^2 x = 1.5 ×〖sin 〗^2 x on 1st period

Hi all,
I've got a math problem to solve. Find all solutions for the angle x in the interval 0 =< x =< 360:

〖cos〗^2 x = 1.5 ×〖sin 〗^2 x

I've calculated the following angles: 39.23, 140.77, 219.23 and 320.77. Are they correct? (It's for a homework check exercise.)

Thanks for checking!

Max

 

[Deleted member 4993]

Hi all,
I've got a math problem to solve. Find all solutions for the angle x in the interval 0 =< x =< 360:

〖cos〗^2 x = 1.5 ×〖sin 〗^2 x

I've calculated the following angles: 39.23, 140.77, 219.23 and 320.77. Are they correct? (It's for a homework check exercise.)

Thanks for checking!

Max

You can confirm your answer by substituting the calculated values in the given equation and check for "equality".