So, if ω is a fixed number and θ is any angle we have the following periods. Period The period of a function is the number, T, such that f (θ + T ) = f (θ ). Join courses with the best schedule and enjoy fun and interactive classes. csc θ ≥ 1 and csc θ ≤ −1 −1 ≤ sin θ ≤ 1 −1 ≤ cos θ ≤ 1 sec θ ≥ 1 and sec θ ≤ −1 −∞ ≤ tan θ ≤ ∞ −∞ ≤ cot θ ≤ ∞ Get ready for all-new Live Classes Now learn Live with Indias best teachers.

The six functions are sine (sin), cosine (cos), tangent (tan), cosecant (csc). sin θ, θ can be any angle cos θ, θ can be any angle 1⎞ ⎛ tan θ, θ ≠ ⎜ n + ⎟ π, n = 0, ± 1, ± 2,… 2⎠ ⎝ θ ≠ n π, n = 0, ± 1, ± 2,… csc θ, 1⎞ ⎛ sec θ, θ ≠ ⎜ n + ⎟ π, n = 0, ± 1, ± 2,… 2⎠ ⎝ θ ≠ n π, n = 0, ± 1, ± 2,… cot θ, Range The range is all possible values to get out of the function. The six trigonometric functions can be used to find the ratio of the side lengths. Hypotenuse opposite hypotenuse sec θ = adjacent adjacent cot θ = opposite csc θ =įacts and Properties Domain The domain is all the values of θ that can be plugged into the function.

Tangent and Cotangent Identities sin θ cos θ tan θ = cot θ = cos θ sin θ Reciprocal Identities 1 1 csc θ = sin θ = sin θ csc θ 1 1 sec θ = cos θ = cos θ sec θ 1 1 cot θ = tan θ = tan θ cot θ Pythagorean Identities sin 2 θ + cos 2 θ = 1

yĪdjacent opposite hypotenuse adjacent cos θ = hypotenuse opposite tan θ = adjacent Unit circle definition For this definition θ is any angle. Trig Cheat Sheet Definition of the Trig Functions Right triangle definition For this definition we assume that 0 <θ <

Trig cheat sheet pdf