Sine & Cosine
Find the cos 810° without your calculator
0
tangent Θ= ______
opposite Θ/ adjacent
How do you get from radians to degrees
multiply by 180/π
True or False:
The pythagorean identify states that cosΘ^2 + sinΘ^2= 0
False
cosΘ^2 + sinΘ^2=1
What quadrant is 2π/3 in?
Quadrant II
If cos Θ=0, then tan Θ= ______
undefined
tan (-3)
0.143
*radians*
Find the radian measure of the following angles without a calculator:
60°
240°
315°
π/3
4π/3
7π/4
When sinΘ=0, tan =____
When cosΘ=0, tan =____
0
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Convert to radians:
3/5 revolution clockwise
-6π/5
For triangle ABC, AB=10, BC=6, angle B=30°. Find AC.
AC= 13.86
A line goes through the origin and makes a 85° angle with the x-axis, find the slope of the line
11.43
cos 16°35'
0.958
Determine weather the property is true for sine, cosine, or tangent:
The function contains the point (π/2,1)
Conver to degrees:
5/12 revolution counterclockwise
150°
In triangle XYZ, XY=9, YZ=7, angle X=30°. Find angle Z.
40°
You are standing 25 feet away from the base of a building. The angle of elevation from you to the horizontal line of sight is 87.4°. How tall is the building?
550 feet
What is 1.4 radians equal to in degrees?
80.21°
Find the length of an arc that has a central angle of 45° and a radius of 2 in.
π/2 in
What is the sin (Θ-2π) when sin Θ= .80
*0<Θ<π/2*
Θ=.80
State the domain and range for cos, sin, and tan.
Cos and Sin: domain= all real numbers, range= all real numbers between -1 and 1
Tan: domain= all real numbers except odd multiples of π/2, range= all real numbers
The angle of elevation from a point 43 feet from the base of a tree on level ground to the top of the tree is 30°. What is the height of the tree?
24.8 feet
What is 22.375° as an angle measure in degrees, minutes, and seconds?
22°22'30"
Find the area of the sector of a circle with a radius of 9 cm and a central angle of 4π/3
54π cm^2
Find all Θ between 0 and 2π where sin Θ=.5
Θ=π/6, 5π/6