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356 MATHEMATICS<br />

5.<br />

5<br />

,<br />

12<br />

,<br />

5<br />

,<br />

12<br />

,<br />

13<br />

sin cos = tan cot cosec =<br />

13 13 12 5 5<br />

✁ ✁ ✁<br />

7. (i)<br />

49<br />

64<br />

(ii)<br />

49<br />

64<br />

8. Yes<br />

9. (i) 1 (ii) 0 10.<br />

12<br />

,<br />

5<br />

,<br />

12<br />

sinP = cosP = tanP =<br />

13 13 5<br />

11. (i) False (ii) True (iii) False (iv) False (v) False<br />

1. (i) 1 (ii) 2 (iii)<br />

EXERCISE 8.2<br />

3 2 6 ✂<br />

8<br />

(iv)<br />

43 24 3 ✄<br />

11<br />

2. (i) A (ii) D (iii) A (iv) C 3. ☎ A = 45°, ☎ B = 15°<br />

4. (i) False (ii) True (iii) False (iv) False (v) True<br />

EXERCISE 8.3<br />

1. (i) 1 (ii) 1 (iii) 0 (iv) 0<br />

3. ☎ A = 36° 5. ☎ A = 22° 7. cos 23° + sin 15°<br />

EXERCISE 8.4<br />

(v)<br />

67<br />

12<br />

1.<br />

1 1<br />

sin A = , tan A = , secA =<br />

2<br />

1+cot A cot A<br />

2<br />

1+cot A<br />

cot A<br />

2.<br />

2<br />

sec A – 1<br />

,<br />

1<br />

,<br />

2<br />

sinA = cosA = tanA = sec A –1<br />

sec A<br />

sec A<br />

1<br />

,<br />

secA<br />

cot A = cosec A =<br />

2 2<br />

sec A – 1 sec A – 1<br />

3. (i) 1 (ii) 1 4. (i) B (ii) C (iii) D (iv) D<br />

EXERCISE 9.1<br />

1. 10 m 2. 8 3m 3. 3m, 2 3m 4. 10 3 m

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