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69 Cards in this Set
- Front
- Back
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sin (π / 6) |
1 / 2 |
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sin (π / 4) |
sqrt(2) / 2 |
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sin (π / 3) |
sqrt(3) / 2 |
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cos (π / 6) |
sqrt(3) / 2 |
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cos (π / 4) |
sqrt(2) / 2 |
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cos (π / 3) |
1 / 2 |
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general formula of the sine function |
y = A sin (w x - ϕ) + B |
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general formula of the cosine function |
y = A cos (w x - ϕ) + B |
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general formula of the cosecant function |
y = A csc (w x - ϕ) + B |
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general formula of the secant function |
y = A sec (w x - ϕ) + B |
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general formula of the tangent function |
y = A tan (w x - ϕ) + B |
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general formula of the cotangent function |
y = A cot (w x - ϕ) + B |
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amplitude of a trigonometric function |
|A| |
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range of a trigonometric function |
-|A| + B <= y <= |A| + B |
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period of the sine function |
T = (2π) / w |
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period of the cosine function |
T = (2π) / w |
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period of the cosecant function |
T = (2π) / w |
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period of the secant function |
T = (2π) / w |
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period of the tangent function |
T = (π) / w |
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period of the cotangent function |
T = (π) / w |
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phase shift of a trigonometric function |
ϕ / w |
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points to plot on a trigonometric graph |
0, (π / 2), (π), (3π / 2), 2π |
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new starting point for a trigonometric graph |
phase shift |
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domain of the cosecant function |
all real numbers except for integer multiples of π |
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domain of the secant function |
all real numbers except for odd multiples of (π / 2) |
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domain of the tangent function |
all real numbers except for odd multiples of(π / 2) |
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domain of the cotangent function |
all real numbers except for integer multiples of π |
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On 0 <= θ <= 2π interval, how many solutions possible for cosθ = sqrt(x)? |
four |
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On 0 <= θ <= 2π interval, how many solutions possible for sinθ = sqrt(x)? |
four |
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general formula for cosθ = x |
θ + kT k is any integer |
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general formula for sinθ = x |
θ + kT k is any integer |
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general formula for tanθ = x |
θ + kT k is any integer |
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general formula for cscθ = x |
θ + kT k is any integer |
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general formula for secθ = x |
θ + kT k is any integer |
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general formula for cotθ = x |
θ + kT k is any integer |
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restricted domain for sin(x) |
- (π / 2) <= x <= (π / 2) |
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restricted range for sin(x) |
-1 <= y <= 1 |
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restricted domain for cos(x) |
0 <= x <=π |
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restricted range for cos(x) |
-1 <= y <= 1 |
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restricted domain for tan(x) |
- (π / 2) < x < (π / 2) |
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restricted range for tan(x) |
-∞ < y < ∞ |
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restricted domain for inverse sin(x) |
-1 <= x <= 1 |
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restricted range for inverse sin(x) |
- (π / 2) <= y <= (π / 2) |
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restricted domain for inverse cos(x) |
-1 <= x <= 1 |
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restricted range for inverse cos(x) |
0 <= y <= π |
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restricted domain for inverse tan(x) |
- ∞ < x < ∞ |
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restricted range for inverse tan(x) |
- (π / 2) < y < (π / 2) |
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restricted domain for sec(x) |
0 <= x <= π |
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restricted range for sec(x) |
|y| => 1 |
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restricted domain for inverse sec(x) |
|x| => 1 |
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restricted range for inverse sec(x) |
0 <= y <= π |
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restricted domain for csc(x) |
- (π / 2) <= x <= (π / 2) x ≠ 0 |
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restricted range for csc(x) |
|y| => 1 |
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restricted domain for inverse csc(x) |
|x| => 1 |
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restricted range for inverse csc(x) |
- (π / 2) <= y <= (π / 2) y ≠ 0 |
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restricted domain for cot(x) |
0 < x <π |
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restricted range for cot(x) |
- ∞ < y < ∞ |
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restricted domain for inverse cot(x) |
- ∞ < x < ∞ |
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restricted range for inverse cot(x) |
0 < y <π |
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additional solutions of tan(θ) |
solutions + ((π / w) * k) |
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additional solutions of cot(θ) |
solutions + ((π / w) * k) |
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additional solutions of sin(θ) |
solutions + ((2π / w) * k) |
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additional solutions of cos(θ) |
solutions + ((2π / w) * k) |
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additional solutions of csc(θ) |
solutions + ((2π / w) * k) |
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additional solutions of sec(θ) |
solutions + ((2π / w) * k) |
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? + cos^2(θ) = 1 |
sin^2(θ) |
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tan^2(θ) + 1 = ? |
sec^2(θ) |
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1 + cot^2(θ) = ? |
csc^2(θ) |
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sin(-θ) = ? |
- sin(θ) |
