Trig (1st Semester Review)

Definitions

100

y/r

What is sine?

200

x/r

What is cosine?

300

y/x

What is tangent?

400

In terms of x, y, and r, write the Pythagorean Theorem.

What is x²+y²=r²

500

Give the trig ratio of cosecant, secant, and cotangent in terms of x, y, and r.

What are r/y, r/x, and x/y?

Pythagorean Triples

100

Complete this Triple:

__, 4, 5.

What is 3?

200

Complete this Triple:

5, 12, __.

What is 13?

300

Complete this Triple:

8, __, 17.

What is 15?

400

Complete this Triple:

__, 24, 25.

What is 7?

500

Complete this Triple:

20, 21, __.

What is 29?

Trig Functions

100

Evaluate sin(pi/3).

What is sqrt(3)/2?

200

Evaluate cos(5pi/4).

What is -sqrt(2)/2?

300

Evaluate tan(7pi/6).

What is sqrt(3)/3?

400

Evaluate csc(-2pi/3).

What is -2sqrt(3)/3?

500

Evaluate cot(-7pi/3).

What is -sqrt(3)/3?

Inverse Trig Functions

100

Find

sin^-1(1/2)).

What are pi/6 and 5pi/6?

200

Find

tan^-1(-1).

What are 3pi/4 and 7pi/4?

300

Evaluate

Cos^-1(0).

What is pi/2?

400

Evaluate

Sin^-1(-1).

What is -pi/2?

500

Evaluate

Tan^-1(-sqrt(3)/3).

What is -pi/6?

Evaluate trig expressions

100

Evaluate

Tan^-1(sin(pi/2)).

What is pi/4?

200

Evaluate

sin(Tan^-1(1))

What is sqrt(2)/2?

300

Evaluate

Cos^-1(1/2)-Sin^-1(-1/2)

What is pi/2?

400

Evalute

cos(Tan^-1(sqrt(3))

-Sin^-1(sqrt(3)/2))

What is 1?

500

Evaluate

tan(Tan^-1(-sqrt(3))

-Cos^-1(1/2)).

What is sqrt(3)?