What is the common expression used to remember sin, cos, and tan functions? And what does each stand for?
Soh (sin= opposite/hypotenuse)
Cah (Cosine= adjacent/hypotenuse)
Toa (Tan= opposite/ adjacent)
100
True or False...
a) Domain or sin/cos graphs are all real from -1 to 1
b) x-intercepts are odd multiples of π/2
c) Range is all real numbers
a) false
b) true
c) false
100
State the Pythagorean Identity Theorem
sin2(θ ) + cos2(θ ) = 1
100
State the law of sins
a/sin A = b/sin B = c/sin C
200
What is the length of an arc of a 81 degree central angle in a circle with a radius of 4 feet?
5.654 feet
200
Using the tangent-slope theorem, if a line goes through the origin and makes a 71 degree angle with the x-axis, then what is the slope of the line?
2.91
200
Is cosine an even or odd function?
even
200
True or False;
tan5=-tan5
False
200
If side b is 7, and angle measure B is 35, and measure angle C is 105 degrees, then what is the measure of side c?
11.8 units
300
Find the length of an arc with a measure of 4 radians and a radius of 6in.
24inches
300
In a right triangle, if the shortest side is 5, and the other side that is not the hypotenuse is 9, then find the smallest angle.
29.05 degrees
300
Where are the asymptotes for a tan graph?
Every 180 degrees, starting at 90, going right or left on the x-axis
300
If cosθ = .647, then cos(-θ ) is...
.647
300
What do you need to know for:
a) law of cos
b) law of sins
a) SAS (Side, Angle, Side)
SSS (Side, Side, Side)
b) SAS (Side, Angle, Side)
ASA (Angle, Side, Angle)
400
A sector has a radius of 12 cm. and an angle of 65 degrees. To the nearest tenth of a cm., find its arc length.
13.6 cm
400
When would you use the inverse tangent function?
When you know the Adjacent and Opposite sides, and are trying to find the angle.
400
Given tan60 is about 1.73, find 3 other values of x with tanx=1.73
240 degrees, 420 degrees, 600 degrees
400
For every θ , sin(π-θ )= sinθ or sin(180-θ) = ???
sinθ
400
Find the longest side if:
The two shortest sides are 6.5 and 9.4, and the largest angle is 131 degrees.
14.5 units
500
Find the arc length of an arc with measure 130° in a circle with radius 2 in.
4.5 in
500
Lydia, whose eyes are 5 feet off the ground, is standing 90 feet away from the base of a building, and she looks up at a 83° angle of elevation to a point on the edge of
building’s roof. To the nearest foot, how tall is the building?
738 ft tall
500
Complete the Periodicity theorem...
For every θ and every integer n,
cos(θ+2πn)=cosθ or cos(θ+360n)=?????
cosθ
500
cos (θ + π) = −cos θ. Explain why.
No matter in which quadrant θ falls, θ and θ + π will have the same corresponding angle. That is why cos θ and cos (θ + π) will have signs.