So far, with the help of SOHCAHTOA, we have seen that:

Sine = opposite / hypotenuse

Cosine = adjacent / hypotenuse

Tangent = opposite / adjacent

These new functions are related to the originals because they represent the inverse ratios.

Cosecant = hypotenuse / opposite... (compare to Sine)

Secant = hypotenuse / adjacent....... (compare to Cosine)

Cotangent = adjacent / opposite...... (compare to Tangent)

Also, these functions can be abbreviated: Cosecant = Csc, Secant = Sec, Cotangent = Cot.

At the middle school and high school math level, you will rarely have a need to use these functions, but it is good for you to know what they are. However, most trig problems at this stage can easily be solved with the original three functions. Just in case, though, it's always good to know all the trig functions: sine, cosine, tangent, secant, cosecant, cotangent.

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very very helpful. THANKS!!! :D

ReplyDeleteThank you so much!

ReplyDeleteOther than the SOHCAHTOA method, my teacher made us say "Oscar Has A Heap Of Apples, Sine, Cosine Tangent" Oscar Has refers to Opposite and Hypotenuse (sine) and so forth

A/Apples=adjacent Heap/Has=Hypotenuse Oscar/Of=Opposite

That's another great memory trick. I've never seen that one! Thanks for the post!

ReplyDeleteMy teacher taught me "The Cat Sat On An Orange And Had Hat" it doesn't have any meaning but it helped me remember the rules all way through high school :D

ReplyDeleteMy teacher taught me that SOHCAHTOA meant, "Some old hippie caught another hippie tripping on acid."

ReplyDeleteMy math teacher uses 'Some Old Hippie Caught Another Hippie Tripping On Acid'

ReplyDeleteHelpful! :D Thanks ^^

ReplyDeletemy teacher told me its like " Some People Have Curly Brown Hair Through Proper Brush"

ReplyDeleteS= SIN

P= PERPENDICULAR= OPPOSITE

H= HYPOTENUSE

C= COS

B= BASE= ADJACENT

T= TAN

this is really useful! you taught it well thank you :)

ReplyDeleteAnother way to remember SohCahToa:

ReplyDelete"One old hippie caught another hippie tripping on acid."

It's funny enough to help me pass trig.

Do you maybe mean "Some old hippie..." :) I've never heard that one but it also seems like a good way to help remember the trig functions!

ReplyDeleteYeah I would agree that SOHCAHTOA is a really good way to help!

ReplyDeleteSine=opposite/Hypothenuse

Cosine=Adjacent/Hypothenuse

Tangent=Opposite/adjacent

It says that You dont need it in Highschool much.... This my teachers clearly disagree with

ReplyDeleteAn eacy way to remember a coresspondance between them is:

-Sec= 1/cos

-Csc= 1/sin

-Cot= 1/tan

I always found this more helpful in simplifying than opposite over whatever...