This trigonometry ratio relates hypotenuse and adjacent
What is cosine?
What types of triangles that trig functions work with.
Right angled triangles
This is the key we need to hit first on the calculator to convert ratios into angle measurements
What is the 2ND key/Shift key
(then sin, cos, or tan)
Find side length c
c = 8.40
This trigonometry ratio relates hypotenuse and opposite
What is sine?
Calculate the value of sin 26o
sin 26o = 0.438
What is the angle measurement for sin < = 23.8/29
sin^-1(23.8/29)=55o
35.10o
This trig ratio relates opposite and adjacent
What is tangent
Using trigonometry, find the value for x:
Cos 37 = adj / hyp
Cos 37 = x / 11
11 Cos 37 = x
x = 8.789
In this right triangle
CAB, ∠A=90°. Determine ∠B to the nearest whole degree when CB=12.8 and AB=3.9.
Cos^-1 (3.9/12.8) = 72^o
How long is y?
y = 8.67
The longest side of a triangle
What is the hypotenuse
Using trigonometry, find the value for x:
Tan 54 = opp / adj
Tan 54 = x / 5
5 times 1.376 = x
x = 6.880m
What angle does the rocket have to be launched at to reach the rocket base 300 km above Earth?
tan θ=300/90
θ=tan^-1(300/90)
θ=73^o
How long is the opposite side of a right-angled triangle if the reference angle is 50 degrees and the hypotenuse is 14cm?
10.72cm
The function used to solve for the missing angle
Inverse trig functions (inverse sine, inverse cosine, inverse tangent)
Using trigonometry, calculate the value for x:
Sin 28 = opp / hyp
Sin 28 = x / 50
50 times .469 = x
x = 23.450m
In right triangle ADC, ∠D=90° and AD=5.6, AC=8.4. What is the measure of angle ∠ACD, rounded to one decimal place?
sin^-1(5.6/8.4) = 41.8 degrees
Which line is the working out error on?
cos(theta)=A/H
cos(45)=x/4.24
x=4.24/cos(45)
x=3
Line 3
Should be
x=4.24*cos(45)