Question
Download Solution PDFThe derivative of
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Trigonometry:
. - sin2 θ + cos2 θ = 1.
Calculus:
Chain Rule of Derivatives:
.
Calculation:
Let v =
Substituting x = cos θ ⇒ θ = cos-1 x, we get:
v =
= csc-1 (sec 2θ) = csc-1 (csc (90∘ - 2θ))
= 90∘ - 2θ.
And, u =
u = sin θ.
Now,
∴
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