Mind the Interval!

Geometry Level 4

If $\cos { x+\sin { x=\frac { 1 }{ 2 } } }$ then the value of $\tan { x }$ is?

NOTE: x belongs to (0, $\pi$ )

\frac { (4+\sqrt { 7 } ) }{ 3 }

Both

\dfrac { -(4+\sqrt { 7 } ) }{ 3 }

and

\dfrac { -4+\sqrt { 7 } }{ 3 }

\frac { -(4+\sqrt { 7 } ) }{ 3 }

\frac { (4-\sqrt { 7 } ) }{ 3 }

\frac { (-4+\sqrt { 7 } ) }{ 3 }

2 solutions

Pranav Saxena
Jun 24, 2016

I wasn't sure as to how to draw a graph on the comp., so i had to go with images instead.

Trevor Arashiro
Jun 18, 2016

Nice intriguing question! I love the condition that $x$ must be in the interval $(0,\pi)$ . That really adds a unique twist to the problem.

Just q couple things to watch for:

1) try to refrain from using phrases that comment on the difficulty of a problem as very easy or very hard.

2) keep words out of LaTeX like in your multiple choice answers. You can change this by writing "Both $\text{\ ( ans \ )}$ and $\text{\ ( ans \ )}$ ". Or by using "\text{both}"

Thanx for the tips. I will keep them in mind :)

Pranav Saxena - 4 years, 11 months ago

Mind the Interval!

2 solutions

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