Answer :

Answer:

Cos t = -4/5 and tan t = -3/4 (2nd quadrant)

Explanation

Given the trigonometry function

sin(t) = 3/5

According to trigonometry identity

sin theta = opposite/hypotenuse

This means that;

Opposite = 3

Hypotenuse = 5

Get the adjacent

hyp^2 = opp^2 + adj^2

5^2 = 3^2 + adj^2

25 = 9 + adj^2

adj^2 = 25 - 9

adj^2 = 16

adj = \sqrt{16}

adj = 4

Get Cos(t)

Cos t = adj/hyp

Cos t = 4/5

Get tan(t);

tan(t) = opp/adj

tan(t) = 3/4

Since the trig identities are in the second quadrant, this means that cost and tan t are negative. Hence Cos t = -4/5 and tan t = -3/4

Others are Cotangent t = -4/3, cosec t = 5/3 and sec t = -5/4