Comprehensive Trigonometric Values Table Covering All Six Functions (sine, Cosine, Tangent, Cosecant, Secant, Cotangent) For Special Angles From 0° To 360°, With Both Degree And Radian Measurements.
Complete Reference Table Showing Domain, Range, And Principal Values For All Six Inverse Trig Functions With Common Examples.
Essential Formulas For Converting Complex Angle Expressions Into Basic Trigonometric Functions Of Simple Angles.
Formulas That Express Trigonometric Functions Of Θ/2 In Terms Of Functions Of Θ. These Allow Calculation Of Exact Values For Fractional Angles And Are Crucial For Integration And Equation Solving.
Formulas That Express Trigonometric Functions Of 2θ In Terms Of Functions Of Θ. These Break Down Compound Angles Into Simpler Components.
Formulas That Express Trigonometric Functions Of 3θ In Terms Of Functions Of Θ. These Reveal Cubic Polynomial Relationships And Are Used For Solving Complex Equations And Deriving Chebyshev Polynomials.
Formulas For Trigonometric Functions Of Two Added Angles (α + Β). Essential For Combining Separate Angle Measurements Into Single Expressions.
Identities That Simplify Trigonometric Functions Of Subtracted Angles (α - Β). Used To Separate Combined Measurements And Find Relationships Between Different Angle Values.
Identities Showing How Trigonometric Functions Behave With Negative Angles, Revealing Their Even Or Odd Symmetry Properties. These Formulas Demonstrate That Some Functions Change Sign With Negative Inputs While Others Remain Unchanged.
Identities That Express Trigonometric Functions Of Complementary Angles (90° - Θ) In Terms Of The Original Angle Θ. These Formulas Reveal The Fundamental Relationships Between Cofunctions, Showing How Sine And Cosine, Tangent And Cotangent, And Secant And Cosecant Are Paired Through Complementary Angles.
Identities That Show How Trigonometric Functions Behave For Supplementary Angles (180° - Θ). These Formulas Demonstrate Which Functions Maintain Their Values And Which Change Signs When Reflected Across The Y-axis.