just COS
SINE of the times
TANgerine
werdpley?
TRIGGY QUESTIONS
100

Round to the nearest degree

99sin56

82°

100

What angle is this? 

*draw on board

depression

100

cos-1(8/22)

69

100

What are the three trigonometric functions? Include acronym!

Sin Cos Tan (SOHCAHTOA)

100

Evaluate to four decimal places

tan72°

3.0777

200

Evaluate to four decimal places

cos11°

0.7660

200

In what two cases do we use the cosine law?

SSS (Side-Side-Side)

SAS (Side-Angle-Side)

200

Solve for x:

sinx=1/3

x=sin-1(1/3)

x=19°

200

Find the value of A

62=52+92-2(9)(5)cosA

36=25+81-90cosA

36=106-90cosA

-70=-90cosA

-70/-90=cosA

A=cos-1(-70/-90)     A=38.9

200

Solve for x

cosx=2/5

x=cos-1(2/5) 

x=66°

300

In what two cases do you use sine law?

SSA (Side-Side-Angle)

SAA (Side-Angle-Angle)

300

Find x 

*draw triangle 

sin63=x/25

25sin63=x

x=22.28

300

SinA? CosA? TanA

Angle A?

*drawn on board

sinA=3/5

cosA=4/5

tanA=3/4

angleA=37°

300

Find y

*draw on board

tanY=32/15

Y=tan-1(32/15)

Y=65°

300

Solve the triangle

*draw on board

angle M=58°

angle N=94°

side n=11cm

400

Steve is in a hot air balloon. The angle of elevation from her house to the balloon is 62 degrees. The balloon is at a height of 200 metres. What is the distance between the balloon and Steve's home?

*draw sketch on board

sin62=200/x

xsin62=200

x =200/sin62

x =226.5          It is 226.5m

400

Find area of ∆ABC 

*draw on board

sin26=T/5

5sin26=T

T=2.19

A=bxh/2

=10x2.19/2

=10.96cm2

400

Solve for x

*draw on board

x=27.1

400

Calculate the area of the triangle

*draw on board


43.1cm2

400

Solve using Sine Law

*draw on board

Q=45°

q=6cm

s=9cm

500

Moe was riding a dirt bike and wanted to hit a ramp, the ramp is 4.1m long and 2.4m straight off the ground, what is the angle of the ramp?

36°

500

Olivia was at the bottom of a workout ladder, the ladders are at an angle of 26° and span a height of 13ft, how long is the staircase?

5.6ft

500

Alex was making a home gym in his basement and needed the angles and lengths to measure how much foam for the floor, solve the triangle

Angle : 58°

Length : 12ft

500

In a right triangle, the measure of one of the angles is 49° and the hypotenuse has a length of 50cm. Which of the following is the nearest approximation to the length, in cm, of the leg opposite to this angle?

37.7cm

500

Two boats leave Port Rutherford at the exact same time at 90°, one goes 7 miles away and is eating pepperoni pizza with an angle of 29°, the other is 9 miles away and is eating a sandwich with an angle of 61°, what is the distance of the boats?

4.5miles