Formulas
What does 1-sin^2(x) equal?
What is cos^2(x)
Evaluate arcsin(1)
Answer: π/4
Solve this equation from (0-2π) 2cosx-1=0
2cosx=1.. cosx=1/2 π/3 , 5π/3
1 / (sin x)
What is csc x?
Find cos(5π/6)
What is -√3/2
prove tanx/secx=sinx
(sin/cos)/ (1/cos)... (sin/cos) (cos)... Answer: sin
Solve from (0,2π) sin²x=sinx
sin²x-sinx=0... sinx(sinx-1)=0... sinx = 0 ||| sinx=1... Answer: x= 0,π ||| x= π/2
(sin x) / (cos x)
What is tan x?
Find tan(4π/3)
What is √3
Evaluate arctan(√3/3)
y/x= (1/2)/(√3/2)= 1/√3= √3/3... y=1/2... x=√3/2... Answer: π/6
Solve from (0,2π) sec²x = 4
secx=2 or -2... cosx=1/2 or-1/2... Answer: (π/3),(2π/3),(4π/3),(5π/3)
(sec x) / (tan x)
What is csc x?
Where is sinx = cosx on the interval [0, 2π ) ?
What is π/4 and 5π/4
Write the pythagorean identity that involves tangent.
What is tan^2(x) + 1 = sec^2(x)
Evaluate cos(arctan 1)
cos(y/x=1)... cos((√2/2)/(√2/2))... cos(π/4)... Answer: √2/2
All solutions 0 to 2π for 4sin²x - 1 = 0
What is π/6, 5π/6, 7π/6, and 11π6?
cos (-x)
What is cos(x)
Find sec(2π/3)
What is -2
which of the following is NOT a trig identity? 1-cos^2(x) = sin^2(x) cos^2(x)-1= sin^2(x) 1+cot^2(x) = sec^2(x)
What is cos^2(x)-1= sin^2(x)
How would you prove sec^4(x)-tan^4(x)=sec^2(x)+tan^2(x) in a SINGLE step.
What is Factor sec^4(x)-tan^4(x) into [sec^2(x)-tan^2(x)][sec^2(x)+tan^2(x)], then sec^2(x)-tan^2(x)=1
Solve cosxsinx-2cosx=0 on the interval [0, 2π )
What is x=π/2 and x=3π/2
csc x - sin x
(cos x)(cot x)
Where is secx = cscx on the interval [0, 2π ) ?
What is π/4 and 5π/4