The discussion revolves around proving that the derivative of the function F(x) = A sin²(Bx + C) + A cos²(Bx + C) equals zero without using trigonometric identities. Participants are exploring the implications of this requirement within the context of calculus.
The discussion is ongoing, with participants sharing different perspectives on the use of trigonometric identities. Some assert that it is possible to derive F'(x) = 0 without them, while others remain skeptical and emphasize the challenge of adhering to the homework constraints.
Participants note that the homework guidelines explicitly prohibit the use of trigonometric identities, which influences their approaches and reasoning in the discussion.
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??