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Worksheets

Trigonometry class 10

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

 Sin2A+Cos2ASin^2A+Cos^2A  

a)

1

b)

2

c)

0

2.

 Tan2A−Sec2A=Tan^2A-Sec^2A=  

a)

0

b)

1

c)

-1

3.

 1+tan⁡2A1+\tan^2A  

a)

 Sec2ASec^2A  

b)

 Cosec⁡2ACo\sec^2A  

4.

Cot 2 A -1

a)

Cosec2 A

b)

Sec2 A

c)

Tan 2 A

5.

Sin(90-A)

a)

Cos A

b)

CosecA

c)

SecA

6.

Value of Sin A ------if angle A is increased

a)

Increases

b)

Decreases

7.

Value of Cot A ------if angle A is increased

a)

Increases

b)

Decreases

8.

If Sin θ = cos θ, find the value of θ

a)

450

b)

600

c)

900

9.

If tan θ = cot (30° + θ), find the value of θ

a)

60°

b)

30°

c)

90°

10.

 Cotθtan⁡(90°–θ)–Sec(90°–θ)Cosec⁡θ+3tan⁡12°tan⁡60°tan⁡78°  = −−Cotθ\tan(90°–θ)–Sec(90°–θ)Co\secθ+\sqrt{3}\tan12°\tan60°\tan78°\ \ =\ --  

a)

1

b)

2

c)

3

11.

 2(sin⁡6θ+cos⁡6θ)–3(sin⁡4θ+cos⁡4θ)+1 = −−2(\sin^6θ+\cos^6θ)–3(\sin^4θ+\cos^4θ)+1\ =\ --  

a)

0

b)

1

c)

2

12.

a)

(1+3)2\frac{\left(1+\sqrt{3}\right)}{2}

b)

1+31+\sqrt{3}

13.

a)

0

b)

1

14.

 Ifsin⁡θ+sin⁡2θ=1 then Cos2θ+cos⁡4θ = −−If\sinθ+\sin^2θ=1\ then\ Cos^2θ+\cos^4θ\ =\ --  

a)

0

b)

1

c)

2

15.

 If 7sin⁡2θ+3cos⁡2θ=4 thentan⁡θ=−−−If\ 7\sin^2θ+3\cos^2θ=4\ then\tanθ=---  

a)

 3\sqrt{3}  

b)

 13\frac{1}{\sqrt{3}}