Trigonometric Identities
The definition of tan theta in terms of sin theta and cos theta.
What is
tan theta= sintheta/costheta?
Factor the expression: tan^2theta-1
What is
(tantheta+1)(tantheta-1)?
The point (4,3) is on the terminal side of an angle in standard position. Determine the exact value of
costheta
What is
cos theta=4/5
What's Sine's favorite snack?
What is
pi?
Solve cosx-sqrt3=-cosx on the interval [0, 2pi)
What is
x=pi/6,frac{11pi}{6}?
Fill in the blank: 1+___=csc^2theta
What is 1+cot^2theta=csc^2theta?
Factor the expression:
sec^2theta-16
What is
(sectheta+4)(sectheta-4)?
The point (5,12) is on the terminal side of an angle in standard position. Determine the exact value of
sectheta
What is
sec theta=13/5?
Why did the obtuse angle go to the beach?
What is Because it was over 90 degrees?
Solve 2cosx-1=0 on the interval [0, 2pi)
What is
x=pi/3, frac{5pi}3?
Write cot theta using a quotient identity.
What is
cot theta =cos theta/sin theta?
Factor the expression:
cot^2theta-cottheta-2
What is
(cottheta-2)(cottheta+1)?
The point (12,16) is on the terminal side of an angle in standard position. Determine the exact value of
csctheta
(You may simplify your fraction)
What is
csctheta=5/4
or csctheta=20/16?
I’m found between two rays, but I’m not in the sun. I help you measure turns, and you’ll see me in every triangle. What am I?
What is An angle?
Solve 3sinx+1=sinx on the interval [0, 2pi)
What is
x=frac{7pi}{6}, frac{11pi}{6}?
Fill in the blank:
sin^2theta=1- ____
What is sin^2theta=1-cos^2theta?
Factor the expression:
2csc^2theta-7csctheta+6
What is
(2csctheta-3)(csctheta-2)?
The point (3,-4) is on the terminal side of an angle in standard position. Determine the exact value of
tantheta
What is
tantheta=-4/3?
When Miguel was 6 years old, his little sister, Leila, was half his age. If Miguel is 40 years old today, how old is Leila?
What is She is 37 years old ?
Solve cosx+1=-cosx on the interval [0, 2pi)
What is
x=frac{2pi}{3}, frac{4pi}{3}?
Fill in the blank:
tan^2theta= sec^2theta - ____
What is tan^2theta= sec^2theta -1?
Factor the expression:
2sin^2theta-sintheta-1
What is
(sintheta-1)(2sintheta+1)?
The point (-2,3) is on the terminal side of an a. Determine the exact value of
sin theta
What is sintheta=frac{3sqrt(13)}13?
A duck was given $9, a spider was given $36, a bee was given $27. Based on this information, how much money would be given to a cat?
What is $18 ($4.50 per leg)?
Solve 4cos^2x-1=0 on the interval [0, 2pi)
What is
x=frac{pi}{3}, frac{2pi}{3},frac{4pi}{3},frac{5pi}{3}?