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Geometry B Bellwork

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3) Using the inverse of tangent

Find m N to the nearest degree.

tan N = =

m N = tan-1(0.6)

m N ≈ 31°

N

18

30

0.6

30

R

X

18

9-2 Sine and Cosine Ratios

B

c

a

C b A

sinA =opposite side

hypotenuse

sinA = a

c

B

c

a

C b A

cosA =adjacent side

hypotenuse

cosA = b

c

B

EX. Write the sine and cosine ratio for A and B.

sinA =

cosA =

sinB =

cos B =

17

8

C

A

15

EX 2. Find the value of w to the nearest tenth

cos=

5.1≈ w

CROSS MULTIPLY

w

6

32°

6

1

(6)cos 32°=w

32°

w

Ex 3 . Find the value of w to the nearest tenth

sin =

7.1 ≈ w

CROSS MULTIPLY

w

9

52°

w

1

(9)sin52°=w

9

52°

OYO….Find the value of w to the nearest tenth

sin =

8.6 ≈ w

CROSS MULTIPLY

w

12

46°

1

(12)sin46°=w

12

w

46°

EX 4. Find the value of w to the nearest tenth

cos=

w ≈ 10.7

CROSS MULTIPLY

62°

5

w

1

cos62°(w)= 5

w

cos62°

cos62°

5

62°

OYO. Find the value of w to the nearest tenth

sin =

w ≈10.3

CROSS MULTIPLY

43°

7

w

7

1

sin43°(w)= 7

w

sin43°

Sin 43°

43°

EX. 5 Using the inverse of tangent

Find m X to the nearest degree.

cos X = =

m X = cos-1( )

m X ≈ 55°

N

8

14

0.571428571

14

0.571428571

R

X

8

OYO….Using the inverse of tangent

Find m X to the nearest degree.

sin X = =

m X = sin-1( )

m X ≈ 43°

N

13

19

0.684210526

19

0.684210526

13

R

X