www.mathportal.org Math Formulas: Trigonometry Identities Right-Triangle De nitions 1. sin = Opposite Hypotenuse 2. cos = Adjacent Hypotenuse 3. tan = Opposite

Trigonometric Formulas for Sum and Difference, Double Angle, Half Angle, Product and Periodicity Identities Trig Cheat Sheet Definition of the Trig Functions Right triangle definition For this definition we assume that 0 2 p <<q or 0°<q<°90. opposite sin hypotenuse q= hypotenuse csc opposite q= adjacent cos hypotenuse q= hypotenuse sec adjacent q= opposite tan adjacent q= adjacent cot opposite q= Unit circle definition For this definition q is any ...

The Pythagorean formula for sines and cosines. sin 2 t + cos 2 t = 1 . Identities expressing trig functions in terms of their complements cos t = sin(/2 – t) sin t = cos(/2 – t) Right Triangle Trig Calculator Fill in two values and press Calculate. The other two values will be filled in. You may adjust the accuracy of your results. Trigonometry == relationships involving lengths and angles of triangles . Trigonometry works on a flat, two-dimensional surface (a plane) Our application of trigonometry will be focusing on analyzing angles between vectors in space

Sine, Cosine, Tangent to find Side Length of Right Triangle. Sine, Cosine, Tangent Chart. Real World Applications In the unit circle, one can define the trigonometric functions cosine and sine as follows. If (x,y) is a point on the unit cirlce, and if the ray from the origin (0,0) to that point (x,y) makes an angle θ Home › Math › Easy Trig Identities With Euler’s Formula Trig identities are notoriously difficult to memorize: here’s how to learn them without losing your mind. Starting from the Pythagorean Theorem and similar triangles, we can find connections between sin, cos, tan and friends ( read the article on trig ).