Question

x=2sin^2theta and y=2cos^2theta + 1 find x+y​

Answer 1

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Answer 2

Step-by-step explanation:

Given : $x=2sin^2\theta$   and  $y=2cos^2\theta+1$ .

To find : the value of $x+y$

Trigonometric identity used :

$Sin^2\thet+Cos^2\theta=1$

• Calculation for $x+y$

We have the values of x and y as,

$x=2sin^2\theta$   and  $y=2cos^2\theta+1$

so the $x+y$,

⇒  $x+y=2sin^2\theta+2cos^2\theta+1$

taking 2 common from trigonometric functions,

⇒  $x+y=2(sin^2\theta+cos^2\theta)+1$

by using trigonometry identity,

$Sin^2\thet+Cos^2\theta=1$

⇒  $x+y=2(1)+1$

             $=2+1$

             $=3$

Hence we get the value of $x+y=3$.