If x=sin²thita and y=cos²thita + 1 , then find the value of x+y.
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Answer:
x + y = 2
Step-by-step explanation:
Given that:
- x = sin²θ
- y = cos²θ + 1
To find:
Value of x + y = ?
Solution:
The question is asked about x + y. So add x and y.
x + y
= sin²θ + (cos²θ + 1)
Grouping Trigonometric ratios,
→ (sin²θ + cos²θ) + 1
We know that sin²θ + cos²θ = 1
= (1) + 1
= 2
∴ The value of (x + y) = 2
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