Trig Formulas/Identities
What is sin(u + v) equal to?
sin(u)cos(v) + cos(u)sin(v)
Find the exact value of sine of 7pi/12.
(sqrt 2 + sqrt 6)/2
Find all the solutions in the interval [0,2pi).
csc^2(x) - 2 = 0
pi/4, 3pi/4, 5pi/4, 7pi/4
What is cos(2x) equal to? (Must give all three)
1. cos^2(x) - sin^2(x)
2. 2cos^2(x)-1
3. 1 - 2sin^2(x)
Find the exact value of sin405 + sin120.
Note: The angles are in degrees.
(sqrt(2) + sqrt(3))/2
Find all the solutions in the interval [0,2pi).
tan(x) + sqrt(3) = 0
2pi/3, 5pi/3
What is sin(2x) equal to?
2sin(x)cos(x)
sin(u) = -8/17 & cos(v) = -4/5
Find the exact value of sin(v - u).
13/85
Find all the solutions in the interval [0,2pi).
cos(x) + sin(x)tan(x) = 2
pi/3, 5pi/3
What are the three pythagorean trig identities?
1. sin^2(x) + cos^2(x) = 1
2. 1 + tan^2(x) = sec^2(x)
3. 1 + cot^2(x) = csc^2(x)
Find the exact value of tan for 13pi/12.
2 - sqrt(3)
Find all the solutions in the interval [0,2pi).
2sin(x) + csc(x) = 0
NO SOLUTION
What is tan^2(x) equal to?
(1 - cos(2x))/(1 + cos(2x))
Evaluate for:
sin[arcsin(-1/2) - arccos(1/2)]
-1
Find all the solutions in the interval [0,2pi).
sec^2(x) - sec(x) = 2
pi/3, pi, 5pi/3