A function value and a quadrant are given. Find the other five function values. Give exact answers. sin of theta = 1/4 ​, Quadrant II

Answer 1

In Quadrant II, the only trig functions that are positive are sin and cosecant:

To find the missing length of the adjacent side of θ, we will use the Pythagorean Theorem equation:

c² = a² + b2

b² = c² - a² = √(4² - 1² )= √15

Sin = opp/hyp = 1/4 Csc = hyp/opp = 4/1 Opposite = 1

Cos = adj/hyp = -√15 /4 Sec = hyp/adj = -4/√15 Hypotenuse = 4

Tan = opp/adj = -1/√15 Cot = adj/opp = -√15 /1 Adjacent = √15