Download App

Introduction of Trigonometry — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsIntroduction of Trigonometry1 Mark
MCQ
If $4\tan\theta = 3$ then $\frac{4\sin\theta-\cos\theta}{{4\sin\theta+\cos\theta}}$ is equal to :
  • A
    $\frac{3}{4}$
  • ✓
    $\frac{1}{2}$
  • C
    $\frac{1}{3}$
  • D
    $\frac{2}{3}$
✓

Answer

Correct option: B.
$\frac{1}{2}$
Given : $4\tan\theta = 3$
Dividing all terms of $\frac{4\sin\theta-\cos\theta}{{4\sin\theta+\cos\theta}}$ by $\cos\theta$
$=\frac {4\tan\theta-1}{4\tan\theta+1} = \frac{3-1}{3+1} $
$= \frac{2}{4} = \frac{1}{2}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Introduction of Trigonometry→Introduction of Trigonometry — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

The distance of the point (4, 7) from the y-axis is:
→
If $a \cot \theta+b \operatorname{cosec} \theta=p$ and $b \cot \theta+a \operatorname{cosec} \theta=q$, then $p^2-q^2=$
→
In $\triangle\text{ABC}$ and $\triangle\text{DEF},$ we have $\frac{\text{AB}}{\text{DE}}=\frac{\text{BC}}{\text{EF}}=\frac{\text{AC}}{\text{DF}}=\frac{5}{7},$ then $\text{ar}(\triangle\text{ABC}):\text{ar}(\triangle\text{DEF})=?$
→
If $\text{x}\tan45^\circ\cos60^\circ=\sin60^\circ\cot60^\circ,$ then x is equal to:
→
In $\triangle\text{ABC}$ and $\triangle\text{DEF},$ it is given that $\frac{\text{AB}}{\text{DE}}=\frac{\text{BC}}{\text{FD}}$ then:
→
$200$ logs are stacked in such a way that $20$ logs in the bottom row, $19 $logs in the next row, $18$ logs in the row next to it, and so on. The total number of rows is :
→
If angle between two radii of a circle is 130°, the angle between the tangent at the ends of radii is:
→
Find the class mark of the modal class in the following distribution.
Class intervalFrequency
40-5010
50-6025
60-7028
70-8012
80-9010
90-10015
→
The $\text{HCF}$ and $\text{LCM}$ of two numbers are $9$ and $90$ respectively. If one numberis $18,$ then the other number is :
→
$\cos 48^{\circ}-\sin 42^{\circ}=$ ?
→