Chaper 7.2

Question 1

Opposite side of a triangle

Answer 1

Hypotenuse

Question 2

Sin of theta

Answer 2

b/c or opposite/hypotenuse

Question 3

Cos of theta

Answer 3

a/c or adjacent/hypotenuse

Question 4

Tan of theta

Answer 4

b/a or opposite/adjacent

Question 5

Csc of theta

Answer 5

c/b or hypotenuse/opposite

Question 6

Sec of theta

Answer 6

c/a or hypotenuse/adjacent

Question 7

Cot of theta

Answer 7

a/b or adjacent/opposite

Question 8

Reciprocal Identities

Answer 8

csc= 1/sin 
sec= 1/cos
cot= 1/tan

Question 9

Quotient Identities

Answer 9

tan=sin/cos

cot=cos/sin

Question 10

1=?

Answer 10

sin^2+cos^2

Question 11

sin^2=

Answer 11

1-cos^2

Question 12

cos^2=

Answer 12

1-sin^2

Question 13

Sec^2=

Answer 13

Tan^2 +1

Question 14

csc^2=

Answer 14

cot^2+1

Question 15

tan^2=

Answer 15

Sec^2-1

Question 16

Cot^2=

Answer 16

csc^2-1

Question 17

Fundamental Identities

Answer 17

tan= sin/cos
cot= cos/sin
csc= 1/sin
sec= 1/cos
cot= 1/tan
Sin^2 + cos^2=1
Tan^2 +1= sec^2
Cot^2 +1= csc^2

Question 18

Complementary Angles

Answer 18

Sin= cos(90 degrees-theta)
Cos= sin(90 degrees-theta)
Tan= Cot(90 degrees-theta)
Csc= sec(90 degrees-theta)
Sec= csc(90 degrees-theta)
Cot= tan(90 degrees-theta)

Question 19

Right triangle

Answer 19

Has an angle of 90 degrees.

Question 20

Find cos and csc

Answer 20

Cos=12/13

Csc=13/5

Question 21

Cos=(square root of 3)/2 find sin

Answer 21

Sin=1/2

Question 22

Sin^2(20)+cos^2(20)=1

Answer 22

0.16+0.88=1.04

Question 23

Tan50-sin50/cos50 solve using identities

Answer 23

Tan50-tan50

=0

Question 24

1-cos^2(20)-cos^2(70) solve using identities

Answer 24

1-sin^2(70)-cos^2(70)

=0