How to Compute Sine, Cosine and Tangent

By eHow Education Editor

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Before he would cosine the loan, the tan gent asked the bank officer her sine.

Instructions

Difficulty: Easy

Things You’ll Need:

Step1
Find the property (sine, cosine or tangent) in question using the trigonometric mnemonic SOHCAHTOA. For instance, if the problem asks for the sin of the angle, jot down the S part of the mnemonic: SOHcahtoa. If it asks for the cosine, use the middle section of the mnemonic, which begins with C: sohCAHtoa. If you must find the tangent, use the last part of the mnemonic: sohcahTOA.
Step2
To find the sin of an angle, divide the length of the side opposite the angle by the length of the hypotenuse (SOH). The side opposite to the angle is the side that is directly across from the center of the angle.
Step3
To find the cosine of an angle, divide the length of the side adjacent to the angle by the length of the hypotenuse (CAH). The side adjacent to the angle is the side that forms the angle with the hypotenuse.
Step4
To find the tangent of an angle, divide the length of the angle's opposite side by the length of the angle's adjacent side (TOA).

Comments

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shivaree89

shivaree89 said

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on 10/21/2007 SOH CAH TOA!
Sin = Opposite/hypotenuse
Cos = Opposite/hypotenuse
Tan = Opposite/adjacent

Anonymous

Anonymous said

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on 8/22/2006 I was taught to remember:
s=o/h, c=a/h, t=o/a,
by remembering the great Indian Chief (SOHCAHTOA)

Anonymous

Anonymous said

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on 6/30/2006 I sometimes use this to remember, but you have to remember that it goes Sine, Cosine, Tangent:
Oh, Hell (Opposite over Hypotenuse)
Another Hour (Adjacent over Hypotenuse)
Of Algebra (Opposite over Adjacent)

Anonymous

Anonymous said

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on 12/16/2005 Some Of Her (sine=o/h) Children Are Having (cosine=a/h) Trouble Over Algebra (tangent=o/a).

Anonymous

Anonymous said

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on 11/22/2005 Another helpful mnemonic for remembering these trigonometry functions is "Some old horse caught another horse taking oats away."

"Some Old Horse" stands for S O H which stands for "Sine Opposite Hypotenuse."
"Caught Another Horse" or C A H is short for "Cosine Adjacent Hypotenuse." "Taking Oats Away" or T O A means "Tangent Opposite Adjacent."

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eHow Article: How to Compute Sine, Cosine and Tangent

eHow Education Editor

eHow Education Editor

Category: Education

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