Question

If x = a sin 0 and y = a cos 0 ,then find the value x² + y².​

Answer 1

Step-by-step explanation:

it is your answer

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Answer 2

Step-by-step explanation:

Given:-

x = a sin 0 and y = a cos 0

To find:-

Find the value x^2 + y^2?

Solution:-

Given that

x = a sin 0

on squaring both sides then

=>x^2 = (a sin 0)^2

x^2 = a^2 sin^2 0 -------------------(1)

and

y = a cos 0

on squaring both sides then

=>y^2 = (a cos 0)^2

y^2 = a^2 cos^2 0 -----------------(2)

On adding the equations (1) &(2) then

=>x^2 + y^2 = a^2 sin^2 0+a^2 cos^2 0

On taking a^2 as common in RHS

=>x^2 + y^2 = a^2(sin^2 0 + cos^2 0)

We know that

Sin^2 A + Cos^2 A = 1

=>x^2 +y^2 = a^2(1)

=>x^2 +y^2 = a^2

Therefore, x^2 +y^2 = a^2

Answer:-

The value of x^2 +y^2 for the given problem is a^2

Used formula:-

• Sin^2 A + Cos^2 A = 1