Question

Obtain the values of $\sin$, $cos$ and $\tan$ in tabular form on all standard value of $\theta$

Answer 1

Assume a right-angled triangle

From the given triangle,

$\sin \theta =\frac{Oppositeside}{Hypotenuse}=\frac{BC}{AC}$

$\cos \theta =\frac{adjacentside}{Hypotenuse}=\frac{AB}{AC}$

$\tan \theta =\frac{oppositeside}{Adjacentside}=\frac{BC}{AB}$

Also,

$\frac{\sin \theta }{\cos \theta }=\frac{{\displaystyle \frac{BC}{AC}}}{{\displaystyle \frac{AB}{AC}}}=\frac{BC}{AB}=\tan \theta$

Table showing values of $\sin$, $cos$ and $\tan$ in tabular form on all standard value of $\theta$

Hence, all the values of $\sin$, $cos$ and labeled in tabular form for all standard values of $\theta$.