Download App

TRIGONOMETRIC FUNCTIONS — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSTRIGONOMETRIC FUNCTIONS1 Mark
MCQ
Choose the correct answer. The value of $\tan3\text{A}-\tan2\text{A}-\tan\text{A}$ is equal to:
  • ✓
    $\tan3\text{A}\tan2\text{A}\tan\text{A}$
  • B
    $-\tan3\text{A}\tan2\text{A}\tan\text{A}$
  • C
    $\tan\text{A}\tan2\text{A}-\tan2\text{A}\tan3\text{A}\tan\text{A}$
  • D
    $\text{None of these}$
✓

Answer

Correct option: A.
$\tan3\text{A}\tan2\text{A}\tan\text{A}$
$3\text{A}=\text{A}+2\text{A}$
$\Rightarrow\tan3\text{A}=\tan(\text{A+2A})$
$\Rightarrow\tan3\text{A}=\tan\text{A}+\tan\frac{2\text{A}}{1}-\tan\text{A}.\tan2\text{A}$
$\Rightarrow\tan\text{A}+\tan2\text{A}=\tan3\text{A}-\tan3\text{A}.\tan2\text{A}.\tan\text{A}$
$\Rightarrow\tan3\text{A}-\tan2\text{A}-\tan\text{A}=\tan3\text{A}.\tan2\text{A}.\tan\text{A}$

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 "MCQ" from TRIGONOMETRIC FUNCTIONS→TRIGONOMETRIC FUNCTIONS — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A group of $40$ students appeared in an examination of $3$ subjects - Mathematics, Physics  Chemistry. It was found that all students passed in at least one of the subjects, $20$ students passed in Mathematics, $25$ students passed in Physics, $16$ students passed in Chemistry, at most $11$ students passed in both Mathematics and Physics, at most $15$ students passed in both Physics and Chemistry, at most $15$ students passed in both Mathematics and Chemistry. The maximum number of students passed in all the three subjects is___________.
→
The coefficient of $x^5$ in the expansion of $(1+\text{x})^{21}+(1+\text{x})^{22}+...+(1+\text{x})^{30}$
→
Tangents drawn from the point $P(1,8)$ to the circle $x^2+y^2-6 x-4 y-11=0$ touch the circle at the points $A$ and $B$. The equation of the circumcircle of the triangle $P A B$ is
→
From the point $(-1, 2)$ tangent lines are drawn to the parabola ${y^2} = 4x$, the area of triangle formed by chord of contact and the tangents is given by
→
The equation of the circle which touches $x$-axis at $(0,0)$ and touches the line $3 x+4 y-5=0$ is:
→
A bag contains $3$ black and $4$ white balls. Two balls are drawn one by one at random without replacement. The probability that the second drawn ball is white, is
→
The sum of $(n + 1)$ terms of $\frac{1}{1} + \frac{1}{{1 + 2}} + \frac{1}{{1 + 2 + 3}} + ......\,\,{\rm{is }}$
→
A circle passing through the point $P (\alpha, \beta)$ in the first quadrant touches the two coordinate axes at the points $A$ and $B$. The point $P$ is above the line $A B$. The point $Q$ on the line segment $A B$ is the foot of perpendicular from $P$ on $A B$. If $P Q$ is equal to $11$ units, then the value of $\alpha \beta$ is $.............$.
→
If the roots of equation $\frac{{{x^2} - bx}}{{ax - c}} = \frac{{m - 1}}{{m + 1}}$ are equal but opposite in sign, then the value of $m$ will be
→
If $\sin A + \sin B = C,\cos A + \cos B = D,$ then the value of $\sin (A + B) = $
→