Maharashtra Board Solutions for Chapter: Trigonometry, Exercise 1: Practice set 8.1

In $△XYZ$, right-angled at $\angle Y$, if $a$, $b$ and $c$ are the lengths of the sides as shown in the figure. find $\tan Z$.

In $△XYZ$, right-angled at $\angle Y$, if $a$, $b$ and $c$ are the lengths of the sides as shown in the figure. find $\cos X$.

In $△XYZ$, right-angled at $\angle Y$, if $a$, $b$ and $c$ are the lengths of the sides as shown in the figure. find $\tan X$.

In $△LMN$, right-angled at $M$, $\angle L=50°$ and $\angle N=40°$. Express $\sin 50°$ in terms of sides of $△LMN$.

In $△LMN$, right-angled at $M$, $\angle L=50°$ and $\angle N=40°$. Express $\cos 50°$ in terms of the variables $p, b, h$.

In $△LMN$, right-angled at $M$, $\angle L=50°$ and $\angle N=40°$. Express $\tan 40°$ in terms of sides of $△LMN: \left[\frac{LN}{MN} / \frac{LM}{MN} / \frac{MN}{ML}\right]$

In $△LMN$, right-angled at $M$, $\angle L=50°$ and $\angle N=40°$. Express $\cos 40°$ in terms of sides of $△LMN$.

In the given figure, $\angle PQR=90°, \angle PQS=90°, \angle PRQ =\alpha$ and $\angle QPS=\theta$. Find the values of $\sin \theta$, $\cos \theta$ and $\tan \theta$.