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Example determines the first four derivatives for following.
y = cos x
Solution: Again, let's just do some derivatives.
y′ = - sin x
y′′ = - cos x
y′′′ = sin x
y( 4) = cos x
Note as well that cosine (and sine) will repeat each four derivatives. The other four trig functions will not demonstrate this behavior. You may desire to take a few derivatives to convince yourself of this.
ABC is a right triangle right-angled at C and AC=√3 BC. Prove that ∠ABC=60 o . Ans: Tan B = AC/BC Tan B = √3 BC/BC Tan B =√3 ⇒ Tan B = Tan 60 ⇒ B = 60
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