Math  /  Trigonometry

QuestionEliminate θ\theta from the following equation (i). x=tanθ+cotθx=\tan \theta+\cot \theta and y=tanθcotθy=\tan \theta-\cot \theta

Studdy Solution
Simplify the expression to find the relationship between xx and yy:
(x+y)(xy)4=1 \frac{(x + y)(x - y)}{4} = 1
Multiply both sides by 4:
(x+y)(xy)=4 (x + y)(x - y) = 4
This simplifies to:
x2y2=4 x^2 - y^2 = 4
The relationship between xx and yy is:
x2y2=4 \boxed{x^2 - y^2 = 4}

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