#### 11th Standard Maths Trigonometry English Medium Free Online Test One Mark Questions 2020 - 2021

11th Standard

Reg.No. :
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Maths

Time : 00:10:00 Hrs
Total Marks : 10

10 x 1 = 10
1. $\frac { 1 }{ cos{ 80 }^{ 0 } } -\frac { \sqrt { 3 } }{ sin{ 80 }^{ 0 } }$=

(a)

$\sqrt{2}$

(b)

$\sqrt{3}$

(c)

2

(d)

4

2. The maximum value of 4sin2x+3cos2x+$sin\frac { x }{ 2 } +cos\frac { x }{ 2 }$ is

(a)

$\frac { 1 }{ 8 }$

(b)

$\frac { 1 }{ 2 }$

(c)

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

(d)

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

3. cos10+cos20+cos30+: : :+cos1790=

(a)

0

(b)

1

(c)

-1

(d)

89

4. If tan α and tan β are the roots of tan2x + atanx + b = 0; then $\frac { sin(\alpha +\beta ) }{ sin\alpha sin\beta }$ is equal to

(a)

$\frac { b }{ a }$

(b)

$\frac { a }{ b }$

(c)

$\frac { a }{ b }$

(d)

$\frac { b}{ a }$

5. If sinα + cosα = b, then sin2α is equal to

(a)

b2-1, if b≤$\sqrt { 2 }$

(b)

b2-1, if b>$\sqrt { 2 }$

(c)

b2-1, if b ≥ 1

(d)

b2-1, if b≥$\sqrt { 2 }$

6. If the angles of a triangle are in A.P., then the measure of one of the angles in radians is

(a)

$\frac { \pi }{ 6 }$

(b)

$\frac { \pi }{ 3 }$

(c)

$\frac { \pi }{ 2 }$

(d)

$\frac { 2\pi }{ 3 }$

7. The value of sin2$\frac { 5\pi }{ 12 } -sin^{ 2 }\frac { \pi }{ 12 }$ is

(a)

$\frac { 1 }{ 2 }$

(b)

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

(c)

1

(d)

0

8. In any ΔABC, a(b cosC-c Cos B)=

(a)

a2

(b)

b2-c2

(c)

0

(d)

b2+c2

9. If tanθ=$\frac{-4}{3}$, then sinθ is

(a)

$\frac{-4}{5}$

(b)

$\frac{4}{5}$

(c)

$\frac{-4}{5}\quad or\quad \frac{4}{5}$

(d)

None

10. The numerical value of tan-11+tan-12+tan-13=

(a)

$\pi$

(b)

$\frac{\pi}{2}$

(c)

0

(d)

$\frac{\pi}{4}$