Question

Solve the following by putting the values of the trigonmentric ratios of standard angles
i). Sin 30° × cos 30°
ii). Cos 45° × tan 60°
iii). Cot 60° × cot 30°
iv). tan 45° × cosec 30°
v). Sin 60° × cosec 60°
vi). tan 30° × sec 30°
vii). Cosec 45° × cos 30°
viii). Sec 45° × sin 45°
ix). Cosec 90° × cos 90°
x). tan 0° × sin 90°
xi). sin 45° / cos 60°
xii). Cosec 60° / sin 45°

Answer 1

Answer:

1. √3/4
2. √6/2
3. 1
4. 2
5. 1
6. 2/3
7. √6/2
8. 1
9. 0
10. 0
11. √2/4
12. √6/3

step by step explanation:

1. sin30° × cos30° = 1/2 × √3/2 =√3/4
2. cos45° × tan60° = 1/√2 × √3 =√6/2
3. cot60° × cot30° = 1/√3 × √3 =1
4. tan45° × cosec30° = 1 × 2 =2
5. sin60° × cosec60° = √3/2 × 2√3 =1
6. tan30° × sec30° = 1/√3 × 2√3 =2/3
7. cosec45° × cos30° = √2 × √3/2 =√6/2
8. sec45° × sin45° = √2 × 1/√2 =1
9. cosec90° × cos90° = 1 × 0 =0
10. tan0° × sin90° = 0 × 1 =0
11. sin45° × cos60° = 1/√2 × 1/2 =√2/4
12. cosec60° × sin45° = 2/√3 × 1/√2 =√6/3

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