Question

13. If x=2sin²O and y=2cos²O+1, then
find x+y
​

Answer 1

Answer:

3

Step-by-step explanation:

Given, x=2sin²$\theta$  and y=2cos²$\theta$+1

=> x+y = 2sin²$\theta$ + 2cos²$\theta$+1

           = 2(sin²$\theta$ + cos²$\theta$) + 1

           = 2(1) + 1

           = 2+1

           = 3

Answer 2

Answer:

x + y = 3

Step-by-step explanation:

We have,

x = 2Sin² θ

y = 2Cos² θ + 1

Now,

x + y = (2Sin² θ) + (2Cos² θ + 1)

= 2Sin² θ + 2Cos² θ + 1

= 2(Sin² θ + Cos² θ) + 1

But, we know that,

Sin² θ + Cos² θ = 1

∴ = 2(1) + 1

= 2 + 1

= 3

Hence,

x + y = 3

Hope it helped and believing you understood it........All the best