the terminal side of an angle theta in standard position coincides with the line y=5x and lies in quadrant 3. find the six trigonometric functions of theta.

Answer 1

Y = 5x.
m = 5 = Tan A, A = 258.7o.

Sin A = -0.98058.
Cos A = -0.19612.
Tan A = 5.00000.

Csc A = -1.01980.
SEC A = -5.09902.
COT A = 0.20000.

Answer 2

Simplify the trigonometric expression.
sin^2 theta / 1-cos theta

Answer 3

We can use the identity 1 - cos^2(theta) = sin^2(theta) to simplify the given expression:

sin^2(theta) / (1 - cos(theta))

= sin^2(theta) / [(1 - cos(theta))(1 + cos(theta))]

= sin^2(theta) / (1 - cos^2(theta))

= sin^2(theta) / sin^2(theta)

= 1

Therefore, sin^2(theta) / (1 - cos(theta)) simplifies to 1.