Basic Trigonometry: Sin Cos Tan NancyPi

MIT grad shows how to find sin cos and tan using SohCahToa as well as the csc sec and cot trig functions. To skip ahead: 1 For how to find the adjacent opposite and hypotenuse sides of the right triangle skip to 1:13. 2 For how to find the value of SIN of theta using SOH CAH TOA skip to 3:16. 3 For how to find COS skip to 4:15. 4 For how to find TAN skip to 4:56. 5 For how to find CSC SEC AND COT from the sin cos and tan functions skip to 5:56. 6 For harder examples of how to label the adj opp and hyp sides if the TRIANGLE IS ROTATED on its side or upside down skip to 8:32. Nancy formerly of MathBFF explains trigonometry basics. For MORE TRIG: how to convert between radians and degrees jump to: Follow me on Instagram! Follow me on Twitter: SIN COS TAN: If you have a right triangle with side lengths given and an angle theta you can easily find the sine cosine and tangent trigonometric functions. Remember that the longest side of the triangle is the HYPOTENUSE the side directly opposite theta is the OPPOSITE and the other side next to theta is the ADJACENT side. Once youve identified the hypotenuse H adjacent A and opposite sides O you can find Sin Cos and Tan using these trigonometric ratios: Sin of theta Opposite over Hypotenuse SOH Cos of theta Adjacent over Hypotenuse CAH Tan of theta Opposite over Adjacent TOA The mnemonic SOH CAH TOA can help you remember which sides to use for the sine cosine and tangent trig ratios. For instance SOH stands for Sin Opposite over Hypotenuse CSC SEC COT: If you need to find one of the other three trig functions cosecant secant or cotangent the easiest way to find them is to first find Sin Cos or Tan and then take the reciprocal or flip the fraction since: Csc 1 Sin Sec 1 Cos Cot 1 Tan For example if you find that Cos of an angle is equal to 35 the Sec of that angle would be equal to 53. For more of my mathematics videos check out: ,

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