Answer to Question #102489 in Calculus for bjbnl

Question

i am struggling with graphing sin, cosine, tangent, cotangent, secant, co-secant

can u list some things that help in graphing- like the steps for each type of graph

Also list main points for shift of all functions..........

Answer 1

Some curves have discontinuities.

For certain values of x, the tangent, cotangent, secant and cosecant curves are not defined, so there is a gap in the curve.

The Sine Function has this beautiful up-down curve (which repeats every 2π radians, or 360°).

It starts at 0, heads up to 1 by π/2 radians (90°) and then heads down to −1.

Cosine is just like Sine, but it starts at 1 and heads down until π radians (180°) and then heads up again.

The Tangent function has a completely different shape ... it goes between negative and positive Infinity, crossing through 0, and at every π radians (180°).

Co-tangent graph: One cycle occurs between 0 and π. There are vertical asymptotes at each end of the cycle.

Secant function: There are vertical asymptotes. The asymptote occurs and  repeats every π units.

Cosecant graphs: The U shapes of the cosecant graph are tangent to its reciprocal function, sine, at sine's max and min locations.

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