1
Question
How many of following are matched correctly(First element of column A is matched to first element of column B)
Column A Column B
1. Sin(−60∘) a. √32
2. tan(−30∘) b. √3
3. Sin225∘ c. - √22
4. tan240∘ d. 1√3
5. Cot270∘ e. 0
6.Cosec315∘ f. -√2
7. Sec330∘ g. 2√3
8.Cos300∘ h. -1
9.Cos(−300∘) i. 1
10.tan150∘ j. −1√3
___
Column A Column B
1. Sin(−60∘) a. √32
2. tan(−30∘) b. √3
3. Sin225∘ c. - √22
4. tan240∘ d. 1√3
5. Cot270∘ e. 0
6.Cosec315∘ f. -√2
7. Sec330∘ g. 2√3
8.Cos300∘ h. -1
9.Cos(−300∘) i. 1
10.tan150∘ j. −1√3
Open in App
Solution
1. sin(−60∘) = −sin60∘ = −√32(not correctly matched)
2. tan(−30∘) = −tan30∘ = −1√3(Not correctly matched)
3. Sin225∘ = sin(180∘+45∘) = −sin45∘ = −1√2 (correctly matched)
4.tan240∘ = tan(180∘+60∘) = tan60∘ =√3 (Not correctly matched)
5.Cot270∘ = cot(180∘+90∘) = cot90∘ = 0 (Correctly matched)
6. Cosec315∘ = cosec(360∘−45∘) = −cosec45∘ = -√2 (correctly matched)
7. Sec330∘ = sec(360∘−30∘) = sec30∘ = 2√3 (Correctly matched)
8.Cos(−300∘) = cos(270∘+30∘) = sin30∘ = 12 (Not correctly matches) 9.Cos(−300∘) = +cos300∘ = cos(270∘+30∘) = sin30∘ = 12 (Not correctly matches) 10. tan150∘ = tan(180∘−30∘) = −tan30∘ = −1√3(Correctly matched)
2. tan(−30∘) = −tan30∘ = −1√3(Not correctly matched)
3. Sin225∘ = sin(180∘+45∘) = −sin45∘ = −1√2 (correctly matched)
4.tan240∘ = tan(180∘+60∘) = tan60∘ =√3 (Not correctly matched)
5.Cot270∘ = cot(180∘+90∘) = cot90∘ = 0 (Correctly matched)
6. Cosec315∘ = cosec(360∘−45∘) = −cosec45∘ = -√2 (correctly matched)
7. Sec330∘ = sec(360∘−30∘) = sec30∘ = 2√3 (Correctly matched)
8.Cos(−300∘) = cos(270∘+30∘) = sin30∘ = 12 (Not correctly matches) 9.Cos(−300∘) = +cos300∘ = cos(270∘+30∘) = sin30∘ = 12 (Not correctly matches) 10. tan150∘ = tan(180∘−30∘) = −tan30∘ = −1√3(Correctly matched)
Suggest Corrections
0
Similar questions
View More
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
