Exercises: Understand Trigonometric Ratios

Show your work for each problem. Round decimal answers to the nearest hundredth unless otherwise stated.

Grade 9·22 problems·~30 min·Common Core Math - HS Geometry·standard·hsg-srt-c-6

Work through problems with immediate feedback

Fluency Practice

Calculate the trigonometric ratios. Express answers as fractions or decimals rounded to the nearest hundredth.

$Right triangle with sides 5, 12, 13 and angle X at the bottom-left vertex$

Right triangle $XYZ$ has a right angle at $Z$ , with $YZ = 5$ , $XZ = 12$ , and $XY = 13$ . Which expression correctly gives $\tan(X)$ ?

$\frac{12}{13}$

$\frac{5}{13}$

$\frac{5}{12}$

$\frac{12}{5}$