SOLUTION: How to find the exact value of cos(690)+sin(600)/tan(600)*sin(225)

Algebra ->  Trigonometry-basics -> SOLUTION: How to find the exact value of cos(690)+sin(600)/tan(600)*sin(225)       Log On


   

Question 999651: How to find the exact value of cos(690)+sin(600)/tan(600)*sin(225)

Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52809) About Me  (Show Source):
You can put this solution on YOUR website!
.
Please read you submission attentively and then put parentheses and resubmit.


Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
I guess you have this:
%28cos%28690%29%2Bsin%28600%29%29%2F%28tan%28600%29%2Asin%28225%29+%29
if yes, then first find the value of each term above

cos%28690%29=cos%28-30%29=sqrt%283%29%2F2

sin%28600%29=sin%28-120%29=+-sqrt%283%29%2F2

sin%28225%29+=sin%28-135%29=-sin%2845%29=+-1%2Fsqrt%282%29
substitute all in %28cos%28690%29%2Bsin%28600%29%29%2F%28tan%28600%29%2Asin%28225%29+%29
=%28sqrt%283%29%2F2-sqrt%283%29%2F2%29%2F%28sqrt%283%29%2A%28-1%2Fsqrt%282%29%29+%29
=0%2F%28-sqrt%283%29%2Fsqrt%282%29%29+
=0