Trignometry Rules/properties/common equations?

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The discussion focuses on various trigonometric rules and properties, highlighting key equations such as cos²θ + sin²θ = 1, 1 + tan²θ = sec²θ, and 1 + cot²θ = csc²θ. Participants share common trigonometric identities and express gratitude for the information provided. There is a light-hearted exchange regarding a signature joke, but the main emphasis remains on the trigonometric equations. The conversation underscores the importance of understanding these fundamental identities in trigonometry. Overall, the thread serves as a resource for those seeking to learn or review trigonometric properties.
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Homework Statement



What are the other Trignometry Rules/properties/common equations?



The Attempt at a Solution



cos2 theta + sin2 theta = 1
1 + tan2 theta = sec2 theta
1 + cot2 theta = csc2 theta
2sin theta = 2cos theta sin theta
 
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Thanks so much...But I'm unsure of what you said about the e-mailing the site admin
 


Master7731 said:
Thanks so much...But I'm unsure of what you said about the e-mailing the site admin

It's my signature, it's just a joke, don't mind it :)
 


Lol gotcha...thanks again
 

Thread 'Greatest possible value of a constant in polynomial'

Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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