2 years ago

The letters x and y represent rectangular coordinates. Write the following equation using polar coordinates (r, θ). x^2+4y^2=4

Mathematics

1 answer:

GREYUIT [131]2 years ago

7 0

We know x = r*cosθ and y = r*sinθ and just substitute

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Given:

In a right angle triangle θ is an acute angle and $\tan\theta =\dfrac{3}{5}$ .

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In a right angle triangle,

$\tan \theta=\dfrac{Perpendicular}{Base}$

We have,

$\tan\theta =\dfrac{3}{5}$

It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.

By using Pythagoras theorem,

$Hypotenuse=\sqrt{Perpendicular^2+base^2}$

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In a right angle triangle,

$\cos \theta=\dfrac{Base}{Hypotenuse}$

$\cos \theta=\dfrac{5x}{x\sqrt{34}}$

$\cos \theta=\dfrac{5}{\sqrt{34}}$

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