The slope of the tangent to the curve x = sin θ and y = cos 2θ at θ = ππ6 is ______. - Mathematics and Statistics

प्रश्न

The slope of the tangent to the curve x = sin θ and y = cos 2θ at θ = `π/6` is ______.

पर्याय

`-2sqrt3`
`(-2)/sqrt3`
−2
`-1/2`

MCQ

रिकाम्या जागा भरा

उत्तर

The slope of the tangent to the curve x = sin θ and y = cos 2θ at θ = `π/6` is −2.

Explanation:

x = sin θ, y = cos θ, at θ = `π/6`

Differentiating w.r.t. θ,

`(dy)/dx` = `((dy)/(dθ))/((dx)/(dθ))`

= `(-sin 2theta × 2)/cos theta`

= `(-2 × 2sinθ. cosθ)/cosθ`

= −4 sinθ

= −4 sin `π/6`

= `-4 × 1/2`

= −2

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Methods of Solving First Order, First Degree Differential Equations - Linear Differential Equations

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

Q 1.e Q 1.d Q 1.f

2023-2024 (March) Official

APPEARS IN

2023-2024 (March) Official (with solutions)

Q 1.e | 2 marks

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