3A- 2A- is equal to: - Vidyadip

MCQ

$\tan3\text{A}-\tan2\text{A}-\tan\text{A}$ is equal to:

✓
$\tan3\text{A}\tan2\text{A}\tan\text{A}$
B
$-\tan3\text{A}-\tan2\text{A}\tan\text{A}$
C
$\tan\text{A}\tan2\text{A}\tan2\text{A}\tan3\text{A}-\tan3\text{A}\tan\text{A}$
D
Non of these

✓

Answer

Correct option: A.

$\tan3\text{A}\tan2\text{A}\tan\text{A}$

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

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 Ratios of Multiple and Submultiple Angles→Trigonometric Ratios of Multiple and Submultiple Angles — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

The equation $2{\cos ^2}\left( {\frac{x}{2}} \right)\,{\sin ^2}x\, = \,{x^2}\, + \,\frac{1}{{{x^2}}},\,0\,\, \leqslant \,\,x\,\, \leqslant \,\,\frac{\pi }{2}\,\,$ has

If $\alpha \ne 1$ is any ${n^{th}}$ root of unity, then $S = 1 + 3\alpha + 5{\alpha ^2}$….. upto $n$ terms, is equal to

The expression ${(2 + \sqrt 2 )^4}$ has value, lying between

The equation of the circle concentric with the circle ${x^2} + {y^2} - 4x - 6y - 3 = 0$ and touching $y$-axis, is

If $5{\cos ^2}\theta + 7{\sin ^2}\theta - 6 = 0$, then the general value of $\theta $ is

The equation $x^2 + y^2 + 2x - 4y + 5 = 0$ represents:

$ \text{f} (\text{x}) = \frac{\sqrt{(\text{x} 1) (\text{x} 3)}} {\text{(x} 2)}=$ is a real valued function in the domain:

$\mathrm{b}=1+\frac{{ }^1 \mathrm{C}_0+{ }^1 \mathrm{C}_1}{1 !}+\frac{{ }^2 \mathrm{C}_0+{ }^2 \mathrm{C}_1+{ }^2 \mathrm{C}_2}{2 !}+\frac{{ }^3 \mathrm{C}_0+{ }^3 \mathrm{C}_1+{ }^3 \mathrm{C}_2+{ }^3 \mathrm{C}_3}{3 !}+\ldots$

Let $\mathrm{a}=1+\frac{{ }^2 \mathrm{C}_2}{3 !}+\frac{{ }^3 \mathrm{C}_2}{4 !}+\frac{{ }^4 \mathrm{C}_2}{5 !}+\ldots$, Then $\frac{2 b}{a^2}$ is equal to.........................

Which of the following equations represents a parabola:

If $\alpha \in \left( {0,\,\frac{\pi }{2}} \right),$ then $\sqrt {{x^2} + x} + \frac{{{{\tan }^2}\alpha }}{{\sqrt {{x^2} + x} }}$ is always greater than or equal to