HSC Science (Computer Science) 12th Board ExamMaharashtra State Board
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Solution for Differentiate cos^-1((3cosx-2sinx)/sqrt13)  w. r. t. x. - HSC Science (Computer Science) 12th Board Exam - Mathematics and Statistics

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Question

Differentiate `cos^-1((3cosx-2sinx)/sqrt13)` w. r. t. x.

Solution

`Let y=cos^-1((3cosx-2sinx)/sqrt13) `

`      =cos^-1(3/sqrt13cosx-2/sqrt13sinx)`

`Put cosA=3/sqrt13`

`sinA=sqrt(1-9/13)=2/sqrt13`

`y=cos^-1[cosAcosx-sinAsinx]`

`y=cos^-1[cos(A+x)]`

y = A + x, where A is a constant

`dy/dx=d/dx(A+x)=1`

  Is there an error in this question or solution?

APPEARS IN

 2014-2015 (October) (with solutions)
Question 5.1.3 | 3.00 marks
Solution Differentiate cos^-1((3cosx-2sinx)/sqrt13)  w. r. t. x. Concept: Derivatives of Inverse Trigonometric Functions.
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