. Suppose θ is an angle in the standard position whose terminal side is in Quadrant I and sin0=84/85. Find the exact values of the five remaining trigonometric functions of θ.

cos θ = 13/85, tan θ = 84/13, sec θ = 85/13, csc θ = 85/84

Step-by-step explanation:

θ in 1st quadrant, all the coordinates are positive

sin θ = 84/85    (for the right angle triangle ABC, A is the right angle and a the hypotenuse, b and c are legs. )

a = 85

b = 84

c = √85² - 84² = 13

cos θ = 13/85, tan θ = 84/13, sec θ = 85/13, csc θ = 85/84

y= -