SOLUTION: if 0 < (theta) < 90 and tan(theta)= sqrt3/2 find cos(theta)

Algebra ->  Trigonometry-basics -> SOLUTION: if 0 < (theta) < 90 and tan(theta)= sqrt3/2 find cos(theta)      Log On


   



Question 218323: if 0 < (theta) < 90 and tan(theta)= sqrt3/2 find cos(theta)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!



Remember that


Also, we have another identity: which means that


... Start with the first identity.


... Plug in


... Plug in


Now let z=cos%28x%29


... Replace each cosine with 'z'


I'm going to let you take it from here. You just need to solve for 'z' and then use the equation z=cos%28x%29 to find 'x'. Let me know if you still need help.