Trigonometry
What is the mnemonic that shows the most fundamental trigonometric relationships?
What is
SOHCAHTOA
How does a circle's diameter relate to its radius?
It is 2x the measure of the radius.
What is a radius?
distance from a circle's center to its circumference
What is the approximate value of Pi?
3.14
2 Pi
What are the 3 sides of a triangle called when using trigonometry?
opposite, adjacent, hypotenuse
How does a circle's diameter relate to its circumference?
The circumference of a circle is diameter x pi.
What is a circumference?
outer edge around a circle
What does Pi represent?
Circumference/Diameter of a circle
How many radians are at (0,1) on the unit circle?
pi/2 radians
If you want to find the height of a tree and you have the measure of the angle and the hypotenuse, which trig function could you use?
Sine (SOH)
To find the area of a circle, you must do this to the radius.
square it
What is a diameter?
Pi is equal to how many degrees of a circle?
180 degrees
How many radians are at (-1,0) on the unit circle?
Pi
What are some practical uses in the real world for trigonometry?
(Answers may vary)
construction, astronomy, surveying, music, navigation, engineering, etc.
How does the measure of a central angle relate to the measure of its arc?
They are equal.
What is a tangent line?
a line that intersects the circumference of a circle one time only
Pi can be classified as an _____________ number.
irrational, infinite
How many radians are equal to 180 degrees?
Pi
How does trigonometry relate to light, to music, to heat transfer, and to our voices?
How does the measure of an inscribed angle relate to its intercepted arc?
The measure of the inscribed angle = 1/2 the measure of the intercepted arc.
What is a chord?
a line segment that joins two points on the circumference of a circle
Double your points by answering this question...
In a 45,45,90 degree triangle, what is the relationship between the legs and the hypotenuse?
The legs are congruent and the hypotenuse = leg x square root of 2
How many degrees are in 3pi/2 radians?
270 degrees