#### Otis

##### Elite Member

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- Thread starter ugudansam
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Did you finish your assignment?Can someone please help solve this and show me how come about. This is an assignment but am yet to understand this topic: Thanks

That question is:

find the trigonometric ratios indicated

View attachment 29848

Not not yet but I need submit today, I will try finish and showDid you finish your assignment?

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If they are reciprocals, do it mean that w/z cancels z/w ? If yes, why cant we also say cos(0) = 1/Sec(0) ? I used 0 to represent tita

Yes you can - as long as \(\displaystyle sec(\theta) \ne 0 \)If yes, why cant we also say cos(0) = 1/Sec(0)

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No. It means that you may write each as the reciprocal of the other.If they are reciprocals, [doesd] it mean that w/z cancels z/w ?

If we multiply two reciprocals, we get 1. (Maybe that's what you meant by w/Z cancelling Z/w.)

You have correctly shown the identities:

sec(θ) = 1/cos(θ)

1/sec(θ) = cos(θ)

So grateful, and yes, I wrote the answer twice since the question came twice. Thanks for the tutorial as I will further the study here. However, for the formula or secant, cosecant and cotangent. I hear something like (ALL STUDENT LIKE CHEMISTRY) I wonder the application. Else it mean one just have to memorise themHi ugudansam. All answers look correct!

Two comments. Some letters 'a' look like '9'. You may want to be mindful of that. On #3, you'd written the answer for sec(β) twice. (No big deal.)

View attachment 29888

Cheers

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Indeed it does. Good on ya.I wrote the answer twice since the question came twice.

Or, one could memorize cosine, sine, and tangent definitions, first. That way, you simply write their reciprocals, to get the other three. You'd only need to remember that the name secant is associated with cosine and the name cosecant is associated with sine.formula for secant, cosecant and cotangent ... [maybe] one just have to memorise them

When I was a beginner, I think I'd linked secant and cosine together because both names have two syllables, and that helped me remember that secant is the reciprocal of cosine.