1. In 4ABC, right-angled at B, AB= 24 cm, BC = 7 cm. Determine:
6. If Z A and B are acute angles such that cos A = cos B, then show that LA-L
50
EXERCI
P
T
I
(1) sin A, cos A
A,
(ü) sin C, cos C
2. In Fig. 8.13, find tan P-cot R.
12 cm
3
3. If sin A = calculate cos A and tan A.
4
4. Given 15 cot A = 8, find sin A and sec A.
Q
13
5. Given sec 0 = calculate all other trigonometric ratios.
12
(ii) cot20
8
7
7. If cot 0 = - evaluate: (i)
(1 + cos 0) (1 - cos )
1 - tan’ A
8. If3 cot A = 4, check whether
1 + tan’A
cos? A-sinA or not.
1
odot iftan A
find the value of
Answers
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Answer:
ANSWER
R.E.F image
In Δ ABC, B is at right angle.
Given, AB=24cm
BC=7cm
using Pythagoras theorem
AB
2
+BC
2
=AC
2
⇒(24)
2
+(7)
2
=AC
2
⇒AC=
(24
2
)+(7)
2
=
576+49
=
625
⇒AC=25CM
(i)sin A=
AC
BC
=
25
7
cos A=
AC
AB
=
25
24
(ii)sin C=
AC
AB
=
25
24
cos c=
AC
BC
=
25
7
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