(A) In $\Delta ABC$,$m \angle B = 90^{\circ}$,therefore $\overline{AC}$ is the hypotenuse.Given $BC = 3$ and $AC = 5$.Using the Pythagorean theorem: $

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(A) In $\Delta ABC$,$m \angle B = 90^{\circ}$,therefore $\overline{AC}$ is the hypotenuse.Given $BC = 3$ and $AC = 5$.Using the Pythagorean theorem: $AB^{2} + BC^{2} = AC^{2}$.$AB^{2} + 3^{2} = 5^{2}$$AB^{2} + 9 = 25$$AB^{2} = 25 - 9 = 16$$AB = \sqrt{16} = 4$.Now,$\tan A = \frac{\text{opposite side}}{\text{adjacent side}} = \frac{BC}{AB}$.$\tan A = \frac{3}{4}$.

Class 10 Mathematics Introduction to Trigonometry Trigonometric Ratios

Easy

In $\Delta ABC$,$m \angle B = 90^{\circ}$,$BC = 3$ and $AC = 5$,then $\tan A = \ldots$

A
$\frac{3}{4}$
B
$\frac{5}{3}$
C
$\frac{4}{5}$
D
$\frac{3}{2}$

Explore More

Browse All

Question Bank

All Subjects

Class 10 Questions

Class 10

Mathematics Questions

Chapter

Introduction to Trigonometry

Subtopic

Trigonometric Ratios

Which of the following pairs is correct for trigonometric inter-relationships?

$1. \cos \theta$ $a. \frac{\cos \theta}{\sin \theta}$

$2. \tan \theta$ $b. \frac{1}{\csc \theta}$

$3. \cot \theta$ $c. \frac{1}{\sec \theta}$

$4. \sin \theta$ $d. \frac{1}{\cot \theta}$

$e. \sin \theta \cdot \cos \theta$

Easy

View Solution

Given $\sec \theta = \frac{13}{12}$,calculate all other trigonometric ratios.

Easy

View Solution

If $\sin \theta = \frac{3}{5}$,then $\tan \theta = \ldots$

Easy

View Solution

State whether the following is true or false. Justify your answer.
$\sin (A+B) = \sin A + \sin B$

Medium

View Solution

If $\tan \theta = \frac{5}{12}$,then $\cos \theta = \ldots$

Easy

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

$1. \cos \theta$	$a. \frac{\cos \theta}{\sin \theta}$
$2. \tan \theta$	$b. \frac{1}{\csc \theta}$
$3. \cot \theta$	$c. \frac{1}{\sec \theta}$
$4. \sin \theta$	$d. \frac{1}{\cot \theta}$
	$e. \sin \theta \cdot \cos \theta$

In $\Delta ABC$,$m \angle B = 90^{\circ}$,$BC = 3$ and $AC = 5$,then $\tan A = \ldots$

Similar Questions

Which of the following pairs is correct for trigonometric inter-relationships? $1. \cos \theta$ $a. \frac{\cos \theta}{\sin \theta}$ $2. \tan \theta$ $b. \frac{1}{\csc \theta}$ $3. \cot \theta$ $c. \frac{1}{\sec \theta}$ $4. \sin \theta$ $d. \frac{1}{\cot \theta}$ $e. \sin \theta \cdot \cos \theta$

Given $\sec \theta = \frac{13}{12}$,calculate all other trigonometric ratios.

If $\sin \theta = \frac{3}{5}$,then $\tan \theta = \ldots$

State whether the following is true or false. Justify your answer.$\sin (A+B) = \sin A + \sin B$

If $\tan \theta = \frac{5}{12}$,then $\cos \theta = \ldots$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

State whether the following is true or false. Justify your answer.
$\sin (A+B) = \sin A + \sin B$