" /> -->

#### Trigonometry - One Mark Questions

10th Standard EM

Reg.No. :
•
•
•
•
•
•

Maths

Time : 00:30:00 Hrs
Total Marks : 10
10 x 1 = 10
1. The value of is $si{ n }^{ 2 }\theta +\frac { 1 }{ 1+ta{ n }^{ 2 }\theta }$ equal to

(a)

$ta{ n }^{ 2 }\theta$

(b)

1

(c)

$cot^{ 2 }\theta$

(d)

0

2. if sin$\theta$=cos$\theta$=a and sec$\theta$+cosec$\theta$=b, then the value of b (a2-1) is equal to

(a)

2a

(b)

3a

(c)

0

(d)

2ab

3. (1+tan$\theta$+sec$\theta$) (1+cot$\theta$-cosec$\theta$) is equal to

(a)

0

(b)

1

(c)

2

(d)

-1

4. a cot$\theta$+b cosec$\theta$ =p and b cot $\theta$+a cosec$\theta$ =q then p2-qis equal to

(a)

a2-b2

(b)

b2-a2

(c)

a2+b2

(d)

b-a

5. If sin A=$\frac{1}{2}$, then the value of cot A is

(a)

$\sqrt{3}$

(b)

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

(c)

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

(d)

1

6. Given that sinθ=$\frac{a}{b}$, then cosθ is equal to

(a)

$\frac { b }{ \sqrt { { b }^{ 2 }-{ a }^{ 2 } } }$

(b)

$\frac { b }{ a }$

(c)

$\frac { \sqrt { { b }^{ 2 }-{ a }^{ 2 } } }{ b }$

(d)

$\frac { b }{ \sqrt { { b }^{ 2 }-{ a }^{ 2 } } }$

7. If cos (∝-β)=, then sin (∝-β)  can be reduced to

(a)

cos β

(b)

cos 2β

(c)

sin ∝

(d)

sin 2∝

8. The value of (tan1o tan2o tan3o .....tan89o) is

(a)

0

(b)

1

(c)

2

(d)

$\frac{1}{2}$

9. If cos9∝=sin∝ and 9∝<90o, then the value of tan t∝ is

(a)

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

(b)

${\sqrt{3}}$

(c)

1

(d)

0

10. If ∆ABC is right angled at C, then the value of cos (A+B) is

(a)

0

(b)

1

(c)

$\frac{1}{2}$

(d)

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