Pythagorean Identities sin2(x)+cos2(x)=1sin2(x)+cos2(x)=1 1+tan2(x)=sec2(x)1+tan2(x)=sec2(x) 1+cot2(x)=csc2(x)1+cot2(x)=csc2(x) Sum and Difference Formulas sin(a+b)=sin(a)cos(b)+cos(a)sin(b)sin(a+b)=sin(a)cos(b)+cos...
The area is A = a²/2; and The perimeter equals a(2 + √2) (the sum of the two sides plus the hypotenuse). What are the values of the 6 trig functions at 90 degrees? The values of the 6 trig functions for 90 degrees (π/2) are the following ones: sin(90°) = 1; cos...
Sample Chapter(s) Introduction (20 KB) Trig — Level One The Basics of Trigonometry (129 KB) Contents: The Basics of Trigonometry Pythagoras' Theorem Compound Angles, Double Angles and Half Angles Angles in a Triangle Sum and Difference of sin and cos Practical Trig Numerical Values of Special...
A half-angle trig identity is found by using the basic trig ratios to derive the sum and difference formulas, then utilizing the sum formula to produce the double angle formulas. Finally, manipulating the double angle formula reveals the half-angle formulas.Half...
Rewrite the equation using trigonometic identities, such as the half-angle and double-angle identities, the Pythagorean identity and the sum and difference formulas so that there's only one instance of the variable in the equation. This is the most difficult step in solving trig functions, becau...
Using Double-Angle Formulas to Verify Identities Establishing identities using the double-angle formulas is performed using the same steps we used to derive the sum and difference formulas. Choose the more complicated side of the equation and rewrite it until it matches the other side. Using the ...
Sample Chapter(s) Introduction (20 KB) Trig — Level One The Basics of Trigonometry (129 KB) Contents: The Basics of Trigonometry Pythagoras' Theorem Compound Angles, Double Angles and Half Angles Angles in a Triangle Sum and Difference of sin and cos Practical Trig Numerical Values of Special...