Values of Trigonometry Function for an Acute Angle

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When working with values of trigonometry functions for an acute angle, an important acronym to remember is sohcahtoa. Learn about values of trigonometry function for an acute angle with help from an experienced educator in this free video clip.

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Video Transcript

Hi my name is Marija. I'm a mathematician and today I'm going to show you how to find the values of a trigonometry function for an acute angle. So the most important acronym to remember is sohcahtoa and you have to make sure that you spell it correctly. So sohcahtoa is going to tell us the value of all the trigonometric functions. S stands for sine and this is going to create our first ratio. Sine is opposite over hypotenuse, that's what the O and the H stand for. C stands for my cosine and my cosine function is going to be the adjacent over the hypotenuse and T stands for tangent and my tangent is going to be my opposite over my adjacent. So these are the three ratios that you have to remember but sohcahtoa is a great way to just remember them all in a second. So I'll give you an example of this. Let's start with a right triangle and this theta will be our acute angle and we're going to give the measures 3, 4, 5. If I'm asked to find the sine of theta I'm going to go back to what I remember from sohcahtoa, sine is opposite over hypotenuse, so from theta the opposite is 4 and the hypotenuse is 5. So the sine of theta would be 4 over 5. If I wanted the cosine of theta, again I'm going back to this little thing to remember, adjacent over hypotenuse. So adjacent of theta is going to be 3, hypotenuse is going to be 5. That makes my cosine 3 over 5 and then finally I have tangent which is opposite over adjacent. So again from theta I'm going opposite which is 4, adjacent which is 3 which would make my tangent 4 over 3. My name is Marija and I just showed you how to find all the trigonometric ratios of an acute angle.


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