Question

In a right triangle, 0 is an acute angle and cos0= 6/11. Evaluate the other five trigonometric functions of 0.

Answer 1

sin O = √85/11, csc O = 11/√85

cos O = 6/11, sec O = 11/6

tan O = √85/6, cot = 6/√85.

Explanation:

cos = adjacent / hypotenuse = 6/11, so the opposite side to angle O

= √(11^2 - 6^2)

= √85.

csc O = 1/sin O

sec O = 1/cos O

cot O = 1/tan O.