Are these trig identities correct?

AI Thread Summary
The discussion focuses on the verification of trigonometric identities, specifically cos(90+theta) = sin(theta) and sin(90+theta) = -cos(theta). Participants clarify that these identities are incorrect and suggest using the unit circle for confirmation. They mention the importance of understanding the expressions for cos(a+b) and sin(a+b) to avoid confusion. The conversation emphasizes the need for proper application of trigonometric identities in problem-solving. Overall, the participants encourage verification through established mathematical principles.
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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!
 
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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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