If x-2sin 2 - y-2cos 2 - -1- then the value of x-y is-

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Basic Trigonometric Identities

If x=2sin 2...

Question

If $x = 2 {sin}^{2} θ$ , $y = 2 {cos}^{2} θ + 1$ , then the value of $x + y$ is:

2

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3

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\frac{1}{2}

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1

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Solution

The correct option is B $3$
Given, $x = 2 {sin}^{2} θ, y = 2 {cos}^{2} θ + 1$
To find: $(x + y)$
$x + y = 2 {sin}^{2} θ + 2 {cos}^{2} θ + 1$
$= 2 ({sin}^{2} θ + {cos}^{2} θ) + 1$ .....(As ${sin}^{2} θ + {cos}^{2} θ = 1$ )
$= 2 + 1$
$= 3$

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If x=2sin2θ, y=2cos2θ+1, then the value of x+y is:

The correct option is B 3Given, x=2sin2θ,y=2cos2θ+1To find: (x+y)x+y=2sin2θ+2cos2θ+1=2(sin2θ+cos2θ)+1 .....(As sin2θ+cos2θ=1)=2+1=3

If $x = 2 {sin}^{2} θ$ , $y = 2 {cos}^{2} θ + 1$ , then the value of $x + y$ is:

The correct option is B $3$
Given, $x = 2 {sin}^{2} θ, y = 2 {cos}^{2} θ + 1$
To find: $(x + y)$
$x + y = 2 {sin}^{2} θ + 2 {cos}^{2} θ + 1$
$= 2 ({sin}^{2} θ + {cos}^{2} θ) + 1$ .....(As ${sin}^{2} θ + {cos}^{2} θ = 1$ )
$= 2 + 1$
$= 3$