Are these trig identities correct?

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Homework Help Overview

The discussion revolves around the correctness of trigonometric identities involving cosine and sine functions, specifically in the context of angles expressed as 90 degrees plus a variable theta. Participants are seeking clarification on these identities.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Some participants present identities and seek validation, while others question their correctness and suggest referencing known trigonometric identities. There is a mention of using the unit circle for self-verification.

Discussion Status

The discussion is active, with participants expressing differing views on the correctness of the identities. Some have provided guidance on exploring standard trigonometric identities, while others are in the process of verifying their understanding.

Contextual Notes

There is an indication that participants are referencing specific trigonometric identities and may be working under the constraints of homework guidelines that require them to verify their solutions independently.

rocomath
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cos(90+theta) = sin(theta)

sin(90+theta) = -cos(theta)

cos is negative in 2nd quad

sin is positive in 2nd quad

i'm looking at some soln's and i just need clarification, thanks!
 
Last edited:
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rocophysics said:
cos(90+theta) = sin(theta)

sin(90+theta) = -cos(theta)

thanks!
Refer to the unit circle and you can answer this yourself.
 
No, they are not. Do you know an expression for cos(x+90) and sin(x+90), or more generally cos(a+b) and sin(a+b)?
 
cristo said:
No, they are not. Do you know an expression for cos(x+90) and sin(x+90), or more generally cos(a+b) and sin(a+b)?
lol ah! why didn't it click, thanks again cristo :-]

let me verify these soln's I'm typing up by using the sums/differences or cofunction identities.
 

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