#### Trigonometry - One Mark Questions

11th Standard

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Maths

Time : 00:30:00 Hrs
Total Marks : 15
15 x 1 = 15
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. cos2ፀ cos2ф+sin2(ፀ-ф)-sin2(ፀ+ф) is equal to

(a)

sin2(ፀ-$\phi$)

(b)

cos2(ፀ+$\phi$)

(c)

sin2(ፀ-$\phi$)

(d)

cos2(ፀ-$\phi$)

5. If tan α and tan β are the roots of tan x2+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)

$\frac { b}{ a }$

6. If f(ፀ)=|sinፀ|+|cosፀ|, ፀ$\in$R, then f(ፀ) is in the interval

(a)

[0,2]

(b)

[1,$\sqrt { 2 }$]

(c)

[1,2]

(d)

[0,1]

7. A wheel is spinning at 2 radians/second. How many seconds will it take to make 10 complete rotations?

(a)

10$\pi$ seconds

(b)

20$\pi$ seconds

(c)

5$\pi$ seconds

(d)

15$\pi$ seconds

8. In aΔABC, if (i) $sin\frac { A }{ 2 } sin\frac { B }{ 2 } sin\frac { C }{ 2 }$ (ii) sinA sinB sinC>0

(a)

Both (i) and (ii) are true

(b)

Only (i) is true

(c)

Only (ii) is true

(d)

Neither (i) nor (ii) is true

9. If tanx=$\frac { -1 }{ \sqrt { 5 } }$ and x lies in the IV quadrant, then the value of cosx is

(a)

$\sqrt { \frac { 5 }{ 6 } }$

(b)

$\frac { 2 }{ \sqrt { 6 } }$

(c)

$\frac { 1 }{ 2 }$

(d)

$\frac { 1 }{ \sqrt { 6 } }$

10. If cosec x+cotx=$\frac { 11 }{ 2 }$ then tanx=

(a)

$\frac { 21 }{ 22 }$

(b)

$\frac { 15 }{ 16 }$

(c)

$\frac { 44 }{ 117 }$

(d)

$\frac { 117 }{ 44 }$

11. 2tan-1$\left( \frac { 1 }{ 5 } \right)$ is equal to

(a)

tan$\left( \frac { 5 }{ 12 } \right)$

(b)

$\frac { 5 }{ 12 }$

(c)

$\tan^{-1}\left({5 \over 12}\right)$

(d)

tan-1$\frac { 2 }{ 5 }$

12. If sin(45 ° + 10°) - sin(45° -10°) =$\sqrt{2}$sin x then x is

(a)

0o

(b)

(c)

10°

(d)

15°

13. If 2 sinθ+1=0 and $\sqrt{3}$tanθ=1, then the most general value of θ is

(a)

$n\pi\pm\frac{\pi}{6}$

(b)

$n\pi+(-1)^n\frac{7\pi}{6}$

(c)

$2n\pi+\frac{7\pi}{6}$

(d)

$2n\pi+\frac{11\pi}{6}$

14. If (A+B)=$\frac{\pi}{4}$, (cot A-1)(cot B-1)=

(a)

0

(b)

-2

(c)

2

(d)

1

15. Number of solutions of the equation tan x+sec x=2 cos x lying in the interval [0,2π] is

(a)

0

(b)

1

(c)

2

(d)

3