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# 07 - Question bank trigonometry - Class 10 - Maths Class 10 Notes | EduRev

## Crash Course for Class 10 Maths by Let's tute

Created by: Letstute

## Class 10 : 07 - Question bank trigonometry - Class 10 - Maths Class 10 Notes | EduRev

``` Page 1

TRIGONOMETRIC RATIO

1 - In triangle ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine:
(a) Sin A, Cos A                                           (b) Sin C, Cos C

(a) Sin A, Cos A
Solution: AB = 24 cm, BC = 7 cm, AC = ?
The value of AC can be calculated by using Pythagoras Theorem:

(b) Sin C, Cos C
Solution:

Page 2

TRIGONOMETRIC RATIO

1 - In triangle ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine:
(a) Sin A, Cos A                                           (b) Sin C, Cos C

(a) Sin A, Cos A
Solution: AB = 24 cm, BC = 7 cm, AC = ?
The value of AC can be calculated by using Pythagoras Theorem:

(b) Sin C, Cos C
Solution:

2 - In the given figure, find tan P - cot R.

Solution:
Value of QR can be calculated by using Pythagoras theorem:

Now;

3 - If ???? ?? ?? =
?? ?? evaluate:
Solution:

This means, b = 7 and p = 8.
We can calculate h by using Pythagoras theorem;

Page 3

TRIGONOMETRIC RATIO

1 - In triangle ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine:
(a) Sin A, Cos A                                           (b) Sin C, Cos C

(a) Sin A, Cos A
Solution: AB = 24 cm, BC = 7 cm, AC = ?
The value of AC can be calculated by using Pythagoras Theorem:

(b) Sin C, Cos C
Solution:

2 - In the given figure, find tan P - cot R.

Solution:
Value of QR can be calculated by using Pythagoras theorem:

Now;

3 - If ???? ?? ?? =
?? ?? evaluate:
Solution:

This means, b = 7 and p = 8.
We can calculate h by using Pythagoras theorem;

Solution:

Solution:

4 - If 3 cot A = 4, check whether  or not.
Solution:
3 cot A = 4 means ?????? ?? =
4
3
=
?? ??
Hence, p = 3 and b = 4.
We can calculate h by using Pythagoras theorem;

Page 4

TRIGONOMETRIC RATIO

1 - In triangle ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine:
(a) Sin A, Cos A                                           (b) Sin C, Cos C

(a) Sin A, Cos A
Solution: AB = 24 cm, BC = 7 cm, AC = ?
The value of AC can be calculated by using Pythagoras Theorem:

(b) Sin C, Cos C
Solution:

2 - In the given figure, find tan P - cot R.

Solution:
Value of QR can be calculated by using Pythagoras theorem:

Now;

3 - If ???? ?? ?? =
?? ?? evaluate:
Solution:

This means, b = 7 and p = 8.
We can calculate h by using Pythagoras theorem;

Solution:

Solution:

4 - If 3 cot A = 4, check whether  or not.
Solution:
3 cot A = 4 means ?????? ?? =
4
3
=
?? ??
Hence, p = 3 and b = 4.
We can calculate h by using Pythagoras theorem;

Now; the equation can be checked as follows:
LHS:

RHS:

It is clear that LHS = RHS.

Page 5

TRIGONOMETRIC RATIO

1 - In triangle ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine:
(a) Sin A, Cos A                                           (b) Sin C, Cos C

(a) Sin A, Cos A
Solution: AB = 24 cm, BC = 7 cm, AC = ?
The value of AC can be calculated by using Pythagoras Theorem:

(b) Sin C, Cos C
Solution:

2 - In the given figure, find tan P - cot R.

Solution:
Value of QR can be calculated by using Pythagoras theorem:

Now;

3 - If ???? ?? ?? =
?? ?? evaluate:
Solution:

This means, b = 7 and p = 8.
We can calculate h by using Pythagoras theorem;

Solution:

Solution:

4 - If 3 cot A = 4, check whether  or not.
Solution:
3 cot A = 4 means ?????? ?? =
4
3
=
?? ??
Hence, p = 3 and b = 4.
We can calculate h by using Pythagoras theorem;

Now; the equation can be checked as follows:
LHS:

RHS:

It is clear that LHS = RHS.

TRIGONOMETRIC RATIOS OF SOME SPECIFIC ANGLES
5- Evaluate the following:

Solution:

Solution:

6 - Choose the correct option and justify your choice:

Solution:

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## Crash Course for Class 10 Maths by Let's tute

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