Trig identities Pythagorean identities Parity identities Sum angle identities Double angle identities Half angle identities Sum identities Product identities Finding all arc functions from arctan Hyperbolic functions Relating circular and hyperbolic functions...
Double-Angle Identities sin2θ=2sinθcosθ cos2θ=cos2θ−sin2θ=2cos2θ−1=1−2sin2θ Half-Angle Identities sin2θ=1−cos2θ2 cos2θ=1+cos2θ2
Principal Trigonometric Identities Sum and Difference Formulas (和差公式) sin(α+β) = sinα cosβ + cosα sinβ sin(α-β) = sinα cosβ - cosα sinβ cos(α+β) = cosα cosβ - sinα sinβ cos(α-β) = cosα cosβ + sinα sinβ tan(α+β) = (tanα + tanβ)/(1 ...
Half Angle Formulas: Half angle formulas express the trigonometric functions of an angle in terms of half that angle. These formulas can be derived from the double angle formulas: sin(A/2) = ±√[(1 – cos(A)) / 2] cos(A/2) = ±√[(1 + cos(A)) / 2] tan(A/2) = ±√...
Determine the correct half-angle formula. Substitute values into the formula based on the triangle. Simplify. Finding Exact Values Using Half-Angle Identities Given thattanα=815tanα=815 andααlies in quadrant III, find the exact value of the following: sin(α2)sin(α2) cos(α2)cos(...
Learn to define basic trigonometric identities. Discover the double-angle, half-angle, and other identities. Learn how to use trigonometric...
3.7.3 Using Half-Angle Identities to Solve a Trigonometric Equation 4. Applications of Trigonometry 4.1 The Law of Sines 4.1.1 The Law of Sines 4.1.2 Solving a Triangle Given Two Sides and One Angle 4.1.3 Solving a Triangle (SAS): Another Example ...
Double Number Identities Exact Values of Trig Functions Frequency of a Periodic Function Frequency of Periodic Motion Gamma(Γγ) Greek Alphabet Half Angle Identities Half Number Identities Hero’s Formula Heron’s Formula Identity (Equation)
Pythagorean identities. Sum and difference formulas. Double angle formulas. Half angle formulas. Products as sums. Sums as products.
3.7.3 Using Half-Angle Identities to Solve a Trigonometric Equation 4. Applications of Trigonometry 4.1 The Law of Sines 4.1.1 The Law of Sines 4.1.2 Solving a Triangle Given Two Sides and One Angle 4.1.3 Solving a Triangle (SAS): Another Example 4.1.4 The Law of Sines: An Applicat...