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The same thing applies to secant and cotangent: they are the reciprocal ratio of the sides that define the basic trig identity. (Remember SOHCAHTOA!) If you invert this ratio to be hypotenuse over opposite, this is the definition of cosecant.

I'll refer you to my post on sine, cosine, and tangent for their basic definitions, as I will build upon those. Trig Cheat Sheet Definition of the Trig Functions 2 Right triangle definition For this definition we. These may be familiar to you already, especially if you have been introduced to the trig functions secant, cosecant, and cotangent. Trig Cheat Sheet Identities Trig Cheat Sheet Triangle. If you know them and can recognize them automatically, your math homework and trigonometry questions will become a lot easier.įor the first set of trig identities, I will list the Reciprocal Identities. Trig identities are extraordinarily important in helping you solve your mathematics questions, and so the identities that I list and explain on this trig identities cheat sheet should really be committed to memory. And you use trig identities as constants throughout an equation to help you simply problems.

Think of them as a type of "constant" that can be swapped into expressions (that use sine, cosine, tangent, or any of the related trig functions secant, cosecant, or cotangent) to change their appearance without changing the math surrounding the expression. Of course you use trigonometry, commonly called trig, in pre-calculus.

They are incredibly valuable to understand and to memorize, and their usefulness becomes apparent when you are faced with a complicated trigonometric expression that needs to be simplified.Īll you need to do is rearrange the complicated trig expression such that you can express it in terms of the trigonometric identities, substitute in the identity to simplify, and carry on with solving the math problem. Trig Cheat Sheet Definition of the Trig Functions Right triangle definition For this definition we assume that 0 2 p <