Right Triangle Trig
What does SOH-CAH-TOA stand for?
Sin(theta)= opp/hyp, Cos(theta)= adj/hyp, Tan(theta)= opp/adj
How many radians are in a whole circle?
2 pi
Triangle ABC has a right angle at angle B.
a=8, b=17,c=15
Find CosA.
15/17
True or False
You can only use the Law of Sines on a non right triangle.
False. You can use it on a right triangle, however, it is extra work than using the trig ratios.
What trig graph has the following point?
(0,0); (pi/2, 1); (pi,0); (3pi/2, -1)
sin(x)
The trig ratios of sine theta, cosine theta and tangent theta are used with what type of a triangle?
Right triangle.
How many degrees are 2pi/3 radians?
120 degrees
Solve for x. Round to the nearest tenth.
sin 38 = 14/x
22.7
True or False
You only use the inverse function button when solving for a missing angle.
True
What 2 transformations are in the function?
y=4cos(x+2)
vertical stretch (amplitude = 4)
horizontal shift (left 2)
What is the Pythagorean Theorem?
a2 + b2 = c2
How many radians are 585 degrees?
13pi/4 (5pi/4)
Solve for B. Round to the nearest degree.
tanB=18/13
m<B=54 degrees
What is the Law of Sines?
Sin A/a = Sin B/b = Sin C/c
What is the period of the function
y=3sin(2x)
period = 2pi/b = 2pi/2 = pi
What are the 2 special right triangles?
45-45-90 and 30-60-90
What is sin(315o)?
-sqrt(2)/2
Solve for A. Round to the nearest degree.
sin70/16 = sinA/9
m<A=32 degrees
What is the Law of Cosines?
a2 = b 2 + c 2 - 2bc cos A
or
b2 = a 2 + c 2 - 2ac cos B
or
c2 = a 2 + b 2 - 2ab cos C
Sketch a graph of y=sec(x).
Ms. Peterson Check
True or False
You can use the Pythagorean Theorem to solve any triangle.
False, the Pythagorean Theorem is only used in right triangles.
What is cos(7pi/6)?
-sqrt(3)/2
Solve for C. Round to the nearest degree.
122=32+102-2(3)(10)cos(C)
m<C=126 degrees
Provide two definitive examples of when you use the Law of Cosines.
1. two side lengths and an angle between them is given. (SAS)
2. three side lengths are given. (SSS)
Write the function for a sine graph that has an amplitude of 3, a period of 4pi, and a horizontal shift of 2 to the right.
y=3sin(1/2(x-2))