Radians and Trigonometric Identities flashcards

$\frac{1}{3}$1/3

from “Radians”

60°

from “Radians”

½

from “Exact Trigonometric Values in Radians”

1

from “Exact Trigonometric Values in Radians”

16

from “Arc Length and Sector Area”

12

from “Arc Length and Sector Area”

$\frac{4}{5}$4/5

from “Trigonometric Identities”

$\frac{15}{17}$15/17

from “Trigonometric Identities”

${\mathrm{cosec}}^2\theta =1+{\cot }^2\theta$cosec²θ = 1 + cot²θ

from “Proving a Trigonometric Identity”

It works on the claim instead of transforming one side into the other

from “Proving a Trigonometric Identity”

sin A cos B + cos A sin B

from “The Compound Angle Formulas”

1

from “The Compound Angle Formulas”

$\frac{\left(1-\cos 2A\right)}{2}$(1 − cos 2A)/2

from “The Double Angle Formulas”

$\frac{\sqrt{3}}{2}$√3/2

from “The Double Angle Formulas”

2

from “Secant, Cosecant and Cotangent”

1

from “Secant, Cosecant and Cotangent”

${\sec }^2\theta$sec²θ

from “The Identity 1 + tan²θ = sec²θ”

$\frac{5}{4}$5/4

from “The Identity 1 + tan²θ = sec²θ”

13

from “The Harmonic Form R sin(x + α)”

$\sqrt{a^2+b^2}$√(a² + b²)

from “The Harmonic Form R sin(x + α)”

53.1°

from “Solving a sin x + b cos x = c with the R Form”

96.9° and 336.9°

from “Solving a sin x + b cos x = c with the R Form”

$\pm 60^{\circ }+360^{\circ }n$±60° + 360°n

from “Every Solution of a Trigonometric Equation”

390°

from “Every Solution of a Trigonometric Equation”