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I.Answer All The Questions. II - Use Blue Pen Only. III - Question Number 15 Is Compulsory

This document contains a model question paper for trigonometry part 1 for 10th standard. It has 3 parts with a total of 15 multiple choice questions worth 40 marks. Part A has 5 questions worth 1 mark each. Part B has 5 problems to prove trigonometric identities worth 2 marks each. Part C has the most challenging 5 problems worth 5 marks each, involving proving longer trigonometric identities. Students are instructed to use blue pen only and question 15 is compulsory with a choice of two proofs to select.

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Jaya Malar
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70 views1 page

I.Answer All The Questions. II - Use Blue Pen Only. III - Question Number 15 Is Compulsory

This document contains a model question paper for trigonometry part 1 for 10th standard. It has 3 parts with a total of 15 multiple choice questions worth 40 marks. Part A has 5 questions worth 1 mark each. Part B has 5 problems to prove trigonometric identities worth 2 marks each. Part C has the most challenging 5 problems worth 5 marks each, involving proving longer trigonometric identities. Students are instructed to use blue pen only and question 15 is compulsory with a choice of two proofs to select.

Uploaded by

Jaya Malar
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Model Question Paper

Trigonometry - Part I
10th Standard

Maths Reg.No. :            

I.Answer all the questions.


II.Use blue pen only.
III.Question number 15 is compulsory.
Time : 01:00:00 Hrs Total Marks : 40
Part-A 5x1=5
1) 2
(1 − sin θ) sec θ =
2

(a) 0 (b) 1 (c) tan θ


2
(d) cos θ
2

2) 2
(1 + tan θ) sin θ =
2

(a) 2
sin θ (b) cos θ
2
(c) tan θ
2
(d) 2
cot θ

3) 2
(1 − cos θ) (1 + cot θ) =
2

(a) 2
sin θ (b) 0 (c) 1 (d) tan θ
2

4) sin (90
∘
− θ) cosθ + cos (90
∘
− θ) sinθ =

(a) 1 (b) 0 (c) 2 (d) -1


2

5) 1−
sin θ
=
1+cosθ

(a) cosθ (b) tanθ (c) cotθ (d) cosecθ

Part-B 5 x 2 = 10
6) Prove the identity  sin θ
+
cos θ
= 1  
cosec θ sec θ
−−−−−
7) Prove the identity √ 1−cosθ
= cosec θ  − cot θ
1+cosθ

8) Prove the identity (sin 6 6


 θ + cos  θ) = 1 − 3sin  θ cos θ
2 2

9) Prove the identity  sin θ−2sin  θ

3
= tan θ
2cos θ−cos θ
2

10) Prove that  1+sec θ sin θ


=
sec θ 1−cosθ

Part-C 5 x 5 = 25
11) Prove the identity [cosec(90 o
− θ) − sin(90
o
− θ)][cosec θ − sinθ][tan θ + cot θ] = 1

12) Prove that  tan θ + sec θ−1 1+sinθ


=
tanθ− secθ + 1 cosθ

13) Prove the identity  tanθ


+
cot θ
= 1 + tanθ + cotθ
1−cot θ 1−tan θ

14) Prove the identity (sin θ + cosec θ) 2


+ (cos θ + sec θ)
2 2
= 7 + tan  θ + cot  θ
2

15) a) Prove the identity  sec θ−tan θ


= 1 − 2sec θ tan θ + 2tan  θ
2

sec θ+tan θ

(OR)
b) Prove the identity (cosec θ − sin θ)(sec θ − cos θ) = 1

tan θ+cot θ

*****************************************

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