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MATH / For positive real numbers x and y, the equation

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

For positive real numbers xx and y,y, the equation \[\arctan x + \arccos \frac{y}{\sqrt{1 + y^2}} = \arcsin \frac{3}{\sqrt{10}}\]reduces to an equation of the form xy+ax+by+c=0.xy + ax + by + c = 0.Enter the ordered triple (a,b,c).(a,b,c).
Plain-text mathematical notation (without MathML)
For positive real numbers x and y, the equation
\[\arctan x + \arccos \frac{y}{\sqrt{1 + y^2}} = \arcsin \frac{3}{\sqrt{10}}\]reduces to an equation of the form
xy+ax+by+c=0.Enter the ordered triple (a,b,c).
Original LaTeX notation
For positive real numbers $x$ and $y,$ the equation
\[\arctan x + \arccos \frac{y}{\sqrt{1 + y^2}} = \arcsin \frac{3}{\sqrt{10}}\]reduces to an equation of the form
\[xy + ax + by + c = 0.\]Enter the ordered triple $(a,b,c).$

level

Level 5

type

Precalculus

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Source and history

task_id
7c03f599-6649-52f2-857e-681fa694cf38
task_key
precalculus--test--7c03f599-6649-52f2-857e-681fa694cf38
task_revision_id
1
config / split
precalculus / test

Official source

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