plz solve the two questions for me plz Show all work Clearly

plz solve the two questions for me..

plz Show all work. Clearly indicate answers

thank you

1. Consider a reference angle (where the initial side of the angle is on the x-axis and vertex at the origin) of = 1 radian.

To four decimal places, what are the coordinates of the point on the unit circle that corresponds to that reference angle?

2. Suppose we consider the point (1/3 , y) on the unit circle.

a. What is the y-coordinate?

b. What is the corresponding reference angle?

c. What are the six trigonometric ratios of that reference angle? Give exact answers.

1. = 1 radian

Points corresponding this angle on unit circle are given by: x= 1*cos(1rad) =0.5403

y = 1*sin(rad) =0.8414

Coordinates are ( x, y) ---( 0.5403 , 0.8414 )

2. ( 1/3 , y) on unit circle

1* cos = 1/3 ---> = cos^-1(1/3) =1.23 radians

b) Refrence angle : = 1.23 rad

a) y = 1*sin = sin(1.23) =0.9428

c) Six trigonometric ratios are :

sin = 0.9428 ;cos = = 0.33 ; tan = 2.819

sec = 3.03 ; csc = 1.06 ; cot =0.3547