3rd Quadrant (180° to 270°): Decreases from 0 to -1
4th Quadrant (270° to 360°): Increases from -1 to 0
Cos θ
Quadrant wise value of cos θ
1st Quadrant (0° to 90°): Decreases from 1 to 0
2nd Quadrant (90° to 180°): Decreases from 0 to -1
3rd Quadrant (180° to 270°): Increase from -1 to 0
4th Quadrant (270° to 360°): Increases from 0 to 1
Tan θ
Quadrant wise value of tan θ
1st Quadrant (0° to 90°): Increases from 0 to ∞
2nd Quadrant (90° to 180°): Increases from -∞ to 0
3rd Quadrant (180° to 270°): Increase from 0 to ∞
4th Quadrant (270° to 360°): Increases from -∞ to 0
Cosec θ, Sec θ & Cot θ
The graphs of Cosec θ, Sec θ & Cot θ are not much important we must only understand the range between which the values of these functions occur, the ranges have been discussed in the maxima-minima section of this course.
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Ytube Answers
A and B can do a piece of work in 36 days. B and C can do the same work in 60 days. A and C can do the same work in 45 days. In how many days can A alone complete the same work?
Pipes A and B are filling pipes while pipe C is an emptying pipe. A and B can fill a tank in 72 and 90 minutes respectively. When all the three pipes are opened together, the tank gets filled in 2 hours. A and B are opened together for 12 minutes, then closed and C is opened, The tank will be empty after:
Pipes A and B can fill a tank in 16 hours and 24 hours, respectively, whereas pipe C can empty the full tank in 40 hours. All three pipes are opened together, but pipe A is closed after 10 hours. After how many hours will the remaining part of the tank be filled?
A motorboat whose speed is 20 km/h in still water takes 30 minutes more to go 24 km upstream than to cover the same distance downstream. If the speed of the boat in still water is increased by 2 km/h, then how much time will it take to go 39 km downstream and 30 km upstream?