In trigonometry, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined. Geometrically, …

tan (30°) = 1 / 1.732 = 0.577... (get your calculator out and check them!) Example: what are the sine, cosine and tangent of 45° ? The classic 45° triangle has two sides of 1 and a hypotenuse of √ 2:

Tangent calculator to easily calculate the tan function of any angle. Calculate cos (x) with this trigonometry calculator which accepts degrees and radians.

On the unit circle, tan⁡ (θ) is the length of the line segment formed by the intersection of the line x=1 and the ray formed by the terminal side of the angle as shown in blue in the figure above.

In a right triangle ABC the tangent of α, tan (α) is defined as the ratio betwween the side opposite to angle α and the side adjacent to the angle α: tan α = a / b

Effortlessly find trigonometric function values (sin, cos, tan, cot) or solve for missing sides or angles in a right triangle using our remarkable tool crafted by experts.

Nov 20, 2025 · The tangent function is the ratio of sine to cosine (tan θ = sin θ/cos θ), and the cotangent function is the ratio of cosine to sine (cot θ = cos θ/sin θ).

Sin, cos, and tan functions in trigonometry are defined in terms of two of the three sides (opposite, adjacent, and hypotenuse) of a right-angled triangle. Here are the formulas of sin, cos, and tan. sin θ …

Explore the tangent function with our interactive tan calculator. See how tan θ relates to sine and cosine, quadrants, angles, and the unit circle.

Jul 23, 2025 · We know that, tan θ = Opposite side/Adjacent side. Now, divide both the numerator and denominator with hypotenuse. tan θ = (Opposite side/Hypotenuse)/ (Adjacent side/Hypotenuse) We …