Trig Definitions

Question 1

Sides of a 45-45-90

Answer 1

Opposite: t
Adjacent:
Hypotenuse: sqrt(2) t

Question 2

Sides of a 30-60-90

Answer 2

Opposite: sqrt(3) t
Adjacent: t
Hypotenuse: 2t

Question 3

Sine of Theta

Answer 3

y/r

Question 4

Cosine of Theta

Answer 4

x/r

Question 5

Tan of Theta

Answer 5

y/x

Question 6

Cotangent

Answer 6

x/y (inverse of Tangent)

Question 7

Secant of Theta

Answer 7

r/x (inverse of Cosine)

Question 8

Cosecant of Theta

Answer 8

r/y (inverse of Sine)

Question 9

Sin and Csc Quadrants

Answer 9

Q1: Positive
Q2: Positive
Q3: Negative
Q4: Negative

Question 10

Cos and Sec Quadrants

Answer 10

Q1: Positive
Q2: Negative
Q3: Negative
Q4: Positive

Question 11

Tan and Cot Quadrants

Answer 11

Q1: Positive
Q2: Negative
Q3: Positive
Q4: Negative

Question 12

What is Csc (Theta) Reciprocal

Answer 12

1/Sin (Theta)

Question 13

What is Sin (Theta) Reciprocal

Answer 13

1/Csc (Theta)

Question 14

What is Sec (Theta) Reciprocal

Answer 14

1/Cos(theta)

Question 15

What is Cos(Theta) Reciprocal

Answer 15

1/Sec (Theta)

Question 16

What is Cot(Theta) Reciprocal

Answer 16

1/Tan(Theta)

Question 17

What is the Tan(Theta) Reciprocal

Answer 17

1/Cot(Theta)

Question 18

What is the Ratio Quotient for Tangent(Theta)

Answer 18

Sin(Theta)/Cos(Theta)

Question 19

What is the Ratio Quotient for Cot(Theta)

Answer 19

Cos(Theta)/Sin(Theta)

Question 20

Pythagorean’s Identity for Cos(theta) and Sin(theta)

Answer 20

Cos^2 (Theta)+ Sin^2(Theta) =1

Question 21

Pythagorean’s Identity for tan(theta) and sec(theta)

Answer 21

tan^2(Theta) = Sec^2(Theta)