SOLUTION: tan(17π/4)cos(-11π/4)+sec(-34π/3)csc(25π /6)

Algebra ->  Trigonometry-basics -> SOLUTION: tan(17π/4)cos(-11π/4)+sec(-34π/3)csc(25π /6)      Log On


   

Question 1089663: tan(17π/4)cos(-11π/4)+sec(-34π/3)csc(25π /6)
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
Before making calculations, simplify and evaluate each term/factor separately:


1)  tan%2817pi%2F4%29 = tan%28pi%2F4%29 = 1;


2)  cos%28-11pi%2F4%29 = cos%28-3pi%2F4%29 = -sqrt%282%29%2F2;


3)  sec%28-34pi%2F3%29 = 1%2Fcos%28-34pi%2F3%29 = 1%2Fcos%28-4pi%2F3%29 = 1%2F%28%28-1%2F2%29%29 = -2;


4)  csc%2825pi%2F6%29 = 1%2Fsin%2825pi%2F6%29 = 1%2Fsin%28pi%2F6%29 = 1%2F%28%281%2F2%29%29 = 2.


Now you have everything to complete calculations in one line:


tan(17π/4)cos(-11π/4)+sec(-34π/3)csc(25π /6) = 1%2A%28-sqrt%282%29%2F2%29+%2B+%28-2%29%2A2%29 = -sqrt%282%29%2F2+-+4.

Solved.