Question

x = 3sin2Ɵ + 2 and y = 3cos2Ɵ + 1, then find x + y.​

Answer 1

Given.

x = 3sin2Ɵ + 2

y = 3cos2Ɵ + 1

To find

x + y

Solution

x + y

= 3 sin² Ɵ + 2 + 3 cos² Ɵ + 1

= 3 sin² Ɵ + 3 cos² Ɵ + 2 + 1

........ Rearranging

= 3 [ sin² Ɵ + cos² Ɵ ] + 2 + 1

......taking 3 as common factor from 3 sin²Ɵ + 3 cos² Ɵ

= 3 [ 1 ] + 2 + 1

....... Trigonometry identity - - > sin² Ɵ + cos² Ɵ = 1

= 3 + 2 + 1

= 6

Therefore,

x + y = 6

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Answer 2

Step-by-step explanation:

Here is your answer

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