Trigonometry Answers

: In a circle of radius 30 inches, a central angle of 35° will intersect the circle forming an arc of length______.

A: 18.33 inches
B: 18.33 feet
C: 87.5 inches
D: 1.17 feet

: Mark statements that are true

An angle that measures 60° also measures pie/3 radians.

An angle that measures pie/3 radians also measures 30°

An angle that measures pie/4 radians also measure 45°

An angle that measure 180° also measures pie radians

: Fill in the blank 42.54° is the same as 42° 32'____''

: 32° 15'66'' is the same as____ Round to the nearest hundredth of a degree

: 136° is the same as ____ radians. Round to the nearest hundredth of a radian.

: 6 radians is the same as____°

round to the nearest hundredth of a degree and use 3.14 for pi

A surveyor measures the angle of elevation to a point on a mountain that is 4 miles away to be 18 degrees. The vertical change in elevation from the point where the surveyor is standing to the point on the mountain is _____ miles. (Round your answer to the nearest hundredth of a mile.)

Fill in the blank.

The light from a lamppost casts a shadow of a man who is standing 15 feet away from the lamppost. The man's shadow is 5 feet long. The angle of elevation from the tip of the shadow to the lamp is 50 degrees. To the nearest foot, the lamppost is ______ feet tall.

The Pythagorean theorem is true for all similar triangles
A: true
B: False

6: Check all that apply. If tan θ = 15/8 , then:

cos θ = 17/15

cot θ = 8/15

sec θ = 17/8

cot θ = 15/17

7: Check all that apply. If csc θ = 13/12 , then:

tan θ = 12/5

sec θ = 12/13

sin θ = 12/13

cos θ = 12/13

Fill in the blank. If necessary, use the slash mark (/) for a fraction bar.

If cos θ = 3/5 , then tanθ = _________. _____________


: sin30 = √3/2 and cos 30 = ½
A: true
B: false

state of the system at any given time is determined by a set of values of n parameters. Each parameter can take one of three values: 1, 0, -1. It is known that the parameter value is defined by formula A1=Sin(A2 * A3 ... An * π / 2). How many different states of the system?

Express the number tan(arcsin(24/25)) in the form of a reduced fraction p/q (such as 2/3, 4/5, −1/4, etc.) with q>0 and give the integers p and q.

solve 2cos(2 theta)=1