For a given angle θ each ratio stays the same The other four trigonometric functions (tan, cot, sec, csc) can be defined as quotients and reciprocals of sin and cos, except where zero occurs in the denominator. Trigonometry mainly provides six functions for sine (sin), cosine (cos), and tangent (tan), also its reciprocal functions cosecant (csc), secant (sec), and cotangent (cot). Explore math with our beautiful, free online graphing calculator Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. 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.
What is the tangent function in trigonometry In trigonometry, the tangent function (tan) of an angle in a right triangle is the ratio of the opposite side to the adjacent side. One of the pythagorean identities talks about the relationship between sec and tan We can solve this for tan x Taking square root on both sides, Given a triangle and the tangent formula above, we can find the tangent as shown in the following examples
We can also use the tangent function when solving real world problems involving right triangles Jack is standing 17 meters from the base of a tree. When we divide sine by cosine we get Sin (θ) cos (θ) = opposite/hypotenuse adjacent/hypotenuse = opposite adjacent = tan (θ) so we can say That is our first trigonometric identity We can also divide the other way around (such as adjacent/opposite instead of opposite/adjacent) to get
Csc (θ) = hypotenuse / opposite.
OPEN
