Free Printable MATHS VIVA CLASS 11 TRIGO: 2 march

1.

$Which\ -\ of\ -\ these$
does - not - represent
$\cos\ 2x$

a)

$\cos^2x-\ \sin^2x$

b)

$2\cos^2x-1$

c)

$1+2\sin^2x$

d)

$\frac{1-\tan^2x}{1+\tan^2x}$

2.

$\frac{2\tan x}{1+\ \tan^2x}=$

a)

tan 2x

b)

cos 2x

c)

sin2x

d)

none

3.

$\cos\left(2\pi-x\right)=$

a)

- cos x

b)

cos x

c)

- sin x

d)

sin x

4.

$\cos x.\cos y\ -\ \sin x.\sin y=$

a)

$\cos\left(x-y\right)$

b)

$\cos\left(x+y\right)$

c)

$\sin\left(x-y\right)$

d)

$\sin\left(x+y\right)$

5.

$\cos\left(-x\right)=$

a)

- cos x

b)

cos x

c)

sin x

d)

- sinx

6.

$\sin x\ -\ \sin y\ =$

a)

$2\ \sin\left(\frac{x+y}{2}\right)\cos\left(\frac{x-y}{2}\right)$

b)

$2\ \cos\left(\frac{x+y}{2}\right)\cos\left(\frac{x-y}{2}\right)$

c)

$2\ \sin\left(\frac{x+y}{2}\right)\sin\left(\frac{x-y}{2}\right)$

d)

$2\ \cos\left(\frac{x+y}{2}\right)\sin\left(\frac{x-y}{2}\right)$

7.

$\cos\ 3x\ =\$

a)

$4\ \cos^3x+\ 3\cos x$

b)

$4\ \cos^3x-\ 3\ \sin x$

c)

$4\ \cos^3x-\ 3\cos x$

d)

$3\ \cos x\ -\ 4\ \cos^3x$

8.

$\sin\ 180^0=$

a)

0

b)

1

c)

$\frac{1}{2}$

d)

$\frac{\sqrt{3}}{2}$

9.

$\sin2x\ =\$

a)

$2\cos^2x\ -\ 1$

b)

$2\ \sin x\ \cos x$

c)

$\frac{2\tan x}{1-\ \tan^2x}$

d)

$3\sin x\ -\ 4\sin^3x$

10.

$\cos\ x\ -\ \cos\ y\ =$

a)

$-\ 2\ \sin\left(\frac{x+y}{2}\right)\sin\left(\frac{x-y}{2}\right)$

b)

$-\ 2\ \cos\left(\frac{x+y}{2}\right)\sin\left(\frac{x-y}{2}\right)$

c)

$-\ 2\ \sin\left(\frac{x+y}{2}\right)\ \cos\left(\frac{x-y}{2}\right)$

d)

$-\ 2\ \cos\left(\frac{x+y}{2}\right)\cos\left(\frac{x-y}{2}\right)$

11.

$\cos\left(\frac{\pi}{2}+x\right)=$

a)

sin x

b)

cos x

c)

- sinx

d)

- cosx

12.

$\frac{radian\ measure}{\deg ree\ measure}=$

a)

$\frac{\pi}{180}$

b)

$\frac{180}{\pi}$

c)

1

d)

0

13.

$\sin\left(x+y\right)+\ \sin\left(x-y\right)=$

a)

2 cosx siny

b)

2 cosx cosy

c)

2 sinx siny

d)

2 sinx cosy

14.

$which\ -\ is\ -\ the$
correct - relation

a)

$l\ =\ r.\theta$

b)

$\frac{l}{r}=\theta$

c)

$\frac{l}{\theta}=r$

d)

All are correct

15.

$whose\ -\ value\ -\ will$
be ( -1)

a)

$\sin\pi$

b)

$\tan\pi$

c)

$\cos\pi$

d)

$none$

16.

$\tan\left(\frac{\pi}{4}-x\right)=$

a)

tanx

b)

- tanx

c)

$\frac{1-\ \tan x}{1+\ \tan x}$

d)

$\frac{1+\tan x}{1-\tan x}$

17.

$\cos\ x\ =\ \frac{5}{3}$
x - in - 4th - quadrant
then, tan x =

a)

$\frac{12}{5}$

b)

$-\ \frac{12}{5}$

c)

$\frac{5}{12}$

d)

$-\ \frac{5}{12}$

18.

$520^{0\ }=$

a)

$\frac{26\pi}{9}\ radians$

b)

$\frac{6\pi}{9}\ radians$

c)

$26\pi\ radians$

d)

$\frac{62\pi}{9}\ radians$

19.

$\operatorname{cosec}\left(\pi-x\right)=$

a)

cosec x

b)

- cosec x

c)

sinx

d)

- sec x

20.

In\ -\ which\ -\ quadrant,

\cot\ \theta\ ,\ is\ positive

but\ ,\ \sin\theta.\ is\ negative

a)

Ist quadrant

b)

IInd quadrant

c)

IIIrd quadrant

d)

IV th quadrant

21.

$\sin^2\ \frac{3\pi}{4}=$

a)

$1$

b)

$\frac{1}{2}$

c)

$\frac{1}{\sqrt{2}}$

d)

$\frac{\sqrt{3}}{2}$

22.

$\frac{\sin70^0+\cos40^0}{\cos70^0+\sin40^0}=$

a)

1

b)

$\sqrt{3}$

c)

0

d)

2

23.

$\cos x=-\ \frac{3}{5},\ x\ -\ in\$
2nd - quadrant,
$than,\ \cos\ \frac{x}{2}=$

a)

$\frac{1}{3}$

b)

$-\ \frac{1}{3}$

c)

$\frac{1}{\sqrt{3}}$

d)

$-\ \frac{1}{\sqrt{3}}$

24.

$\sqrt{2+\sqrt{2+2\cos4\theta}}=$

a)

$2\ \sin\theta$

b)

$2\ \cos\ 2\theta$

c)

$\cos\theta$

d)

$2\ \cos\ \theta$

25.

$\tan\ 1^0.\tan\ 2^0.\ \tan3^0.....\ \tan\ 89^0=$

a)

1

b)

0

c)

2

d)

3

MATHS VIVA CLASS 11 TRIGO: 2 march

Total questions: 25

Worksheet time: 13mins

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