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kebabs
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Please I really need help with this homework question
Prove without trig identity that f`(x)=0 for
F(x)=Asin^2(Bx+C)+Acos^2(Bx+C)
Prove without trig identity that f`(x)=0 for
F(x)=Asin^2(Bx+C)+Acos^2(Bx+C)
kebabs said:Please I really need help with this homework question
Prove without trig identity that f`(x)=0 for
F(x)=Asin^2(Bx+C)+Acos^2(Bx+C)
kebabs said:Please I really need help with this homework question
Prove without trig identity that f`(x)=0 for
F(x)=Asin^2(Bx+C)+Acos^2(Bx+C)
Are you sure? I was able to get F'(x) = 0 by using the chain rule, and yet I didn't use any trig identity.SteveL27 said:You're not supposed to use the obvious identity that simplifies this? I suppose you could just use the derivatives of sin and cos along with the chain rule to directly compute the derivative. But eventually you'll need to simplify using some trig identity.
This is not permitted at Physics Forums - don't even ask.kebabs said:could you please send me your working for this question??
"Proving using calculus without trig identity" is a mathematical process that involves using calculus principles to prove a trigonometric equation or identity, without using any trigonometric identities.
Using calculus allows for a more general and rigorous proof, as it relies on the fundamental principles of calculus rather than specific trigonometric identities that may not be applicable in all cases. Additionally, it can provide a deeper understanding of the underlying concepts behind trigonometry.
Some common techniques used in proving without trig identities include using the derivative of trigonometric functions, applying the fundamental theorem of calculus, and using integration by substitution.
It depends on the specific problem and the individual's knowledge and understanding of calculus and trigonometry. In some cases, proving without trig identities may be more straightforward, while in others it may be more challenging.
Yes, as long as the equation or identity can be expressed in terms of trigonometric functions, it can be proven using calculus techniques.