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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