For a right triangle with an angle θ : Sine Function: sin (θ) = Opposite / Hypotenuse. Cosine Function: cos (θ) = Adjacent / Hypotenuse. Tangent Function: tan (θ) = Opposite / Adjacent. …

Today, the most common versions of these abbreviations are "sin" for sine, "cos" for cosine, "tan" or "tg" for tangent, "sec" for secant, "csc" or "cosec" for cosecant, and "cot" or "ctg" for cotangent.

Basic trig identities are formulas for angle sums, differences, products, and quotients; and they let you find exact values for trig expressions.

For sin, cos and tan the unit-length radius forms the hypotenuse of the triangle that defines them. The reciprocal identities arise as ratios of sides in the triangles where this unit line is no longer …

Express the ratios cos A, tan A and sec A in terms of sin A. Prove that sec A (1 – sin A)(sec A + tan A) = 1. Find the value of 7 sec 2 A – 7 tan 2 A. Show that (sin A + cosec A) 2 + (cos A + …

sin θ = 1/cosec θ; cos θ = 1/sec θ; tan θ = 1/cot θ; All these are taken from a right-angled triangle. When the height and base side of the right triangle are known, we can find out the sine, …

These lessons, with video lessons, examples and step-by-step solutions, help Algebra 2 students to learn about the trigonometric function: Sin, Cos, Tan and the reciprocal trigonometric …

Free math lessons and math homework help from basic math to algebra, geometry and beyond. Students, teachers, parents, and everyone can find solutions to their math problems instantly.

We define the three trigonometrical ratios sine θ, cosine θ, and tangent θ as follows (we normally write these in the shortened forms sin θ, cos θ, and tan θ):

Feb 28, 2025 · Trigonometric functions such as sin, cos, tan, cot, sec, and cosec all are periodic in nature and have different periodicity. The following identities for the trigonometric ratio …