Honors Precalculus Unit 1-Trig
Simplify cot^2 x - csc^2 x
-1
Evaluate. Tan (arctan -5)
-5
Simplify. tan x - (sec^2 x)/tanx
-cot x
Evaluate. arcsin (-1/2)
-pi/3
Prove -(cot x)/csc x = -cos x
Prove the identity.
Prove the following identity: (tanx)/(1-sec x) + (1+sec x)/tan x
Prove the identity.
Solve. cos (x/2)=sqrt (2)/2
x = pi/2 + 4n pi x=7pi/2 + 4npi
Solve3 cot^2x - 1 = 0
x = pi/3 + n pi x=2pi/3 + npi
Evaluate arcsin(sin 3 pi)
0
Evaluate sin(arcsin (0.1))
0.1
Simplify: (cos^2 x - 4)/(cos x - 2)
cos x + 2
Evaluate arcsin 2
undefined
Solve 2sin^2 (2x) = 1
x = pi/8 +npi/4
Solve. 3 csc^2 x -4 = 0
x=pi/6 + npi x=5pi/6 + npi
Evaluate: sin(arctan 4/3)
4/5
Evaluate. cot(arctan(5/8)
8/5
Prove: cot^2 y (sec^2 y - 1) = 1
Prove the identity.
Evaluate arctan (-1)
pi/4
Evaluate arctan -1
-pi/4
Evaluate. arctan (-1)
-pi/4
Evaluate. arctan(-(sqrt 3)/3
-pi/6
Simplify: sin x cos^2 x - sin x
-sin^3 x
Simplify: (csc x - cot x)(css x + cot x)
1
Simplify: (sec x)(sin x/tan x)
1
Evaluate arccos (-(sqrt 2)/2)
3pi/4
Evaluate. arccos (-sqrt 2/2)
3pi/4
Evaluate sin(arctan 4/3)
4/5
Evaluate. cos(arcsin -3/5)
4/5
Evaluate arccos (-(sqrt 3)/2)
5pi/6
Evaluate. arcsin sqrt 3/2
60 degrees
Evaluate cos(arccos pi)
No solution
Prove cos 9-x)/(1-sin (-x))=sec x + tan x
Prove the identity
Prove: (1 + cos x)/sinx + sinx/(1+cos x) = 2 csc x
Prove the identity
Prove: (tan^3 x - 1)/(tanx - 1) = tan^2 x + tan x + 1
Prove the identity
Prove: sin ^(1/2) x cos x - sin ^(5/2) x cos x=cos^3 x sqrt sin x
Prove the identity
Prove the identity. cos x/(1-sin x) = sec x + tan x
Prove the identity.
Prove: (sec x - tan x)(csc x + 1) = cot x
Prove the identity.
Prove: tan x + cot x = sec x csc x
Prove the identity.
Know your fundamental identities. They will not be provided for you on any quiz or test.
This includes the reciprocal, cofunction, pythagorean, even/odd, and quotient identities.
Simplify 1/(tan^2 x)
cos^2 x
Prove the following identity: cos^2 x + cos ^2 (pi/2 -x) = 1
cos^2 x + sin^2 x = 1
Simplify. 1 - 2 sin^2 x + sin^4 x
cos^4 x
Evaluate. arcsin 1
pi/2
arctan(tan 7pi/3)
pi/3
Evaluate arcsin (sqrt 2/2)
pi/4
Evaluate arctan sqrt3/3
pi/6
Evaluate.arcsin(sin 13pi/6)
pi/6
Evaluate. tan(arccos 2/3)
sqrt 5/2
sin(arccos (-2/3))
sqrt(5)/3
Simplify: sinx sec x
tan x
Simplify sin^2 x/(1 - sin^2 x)
tan^2 x
Simplify. tanx sec x + sec^2 x
tan^2 x + tan x + 1
Solve: sqrt 3 sec x - 2 = 0
x = 5pi/6 + 2npi x = 7pi/6 + 2npi
Solve: tan 3x (tan x - 1) = 0
x = npi/3 x= pi/4 + npi
Solve. (3tan^2 - 1)(tan^2 x - 3) = 0
x = pi/6 + npi x=5pi/6 + npi x = pi/3 + npi x=2pi/3 + npi
Solve: 2 sin^2 (2x) = 1
x = pi/8 + npi/4
Solve. tan^2 (3x) = 3
x = pi/9 + npi/3 x = 2pi/9 + npi/3
