1. Graphs of sin x and 2 sin x are of same shape but the maximum height of the
graph of sin x is ________ the maximum height of the graph of __________.
2. The maximum height of the graph of sin 2x is ___________. It is at x =
_________.
3. The maximum height of the graph of 2 sin x is ___________ . It is at x =
_________ .
4. The maximum height of the graph of sin 2x is ___________ . It is at2x = _________ .
5. At x = ________, sin x = 0, at x = _______, sin 2x = 0 and at x = ________,sin 2x= 0.
6. In the interval [0, π], graphs of sin x, 2 sin x and sin 2xare _______
x- axes and some portion of the graph of sin 2x lies _______ x-axes.
7. Graphs of sin x and sin 2x intersect at x = _______ in the interval (0, π)
8. Graphs of sin x and sin 2x intersect at x = ________ in the interval (0, π).
Answers
Given : 4. The maximum height of the graph of sin 2xis ___________ . It is at2x = _________ .
5. At x = ________, sin x = 0, at x = _______, sin 2x = 0 and at x = ________,sin2x = 0.
6. In the interval [0, π], graphs of sin x, 2 sin x and sin 2x are _______ x - axes and some portion of the graph of sin 2x lies _______ x-axes.
7. Graphs of sin x and sin 2x intersect at x = _______ in the interval (0, π)
To Find : Fill in the Blanks
Solution:
1. Graphs of sin x and 2 sin x are of same shape but the maximum height of the graph of sin x is __2______ the maximum height of the graph of Sinx is 1__________.
2. The maximum height of the graph of sin 2x is ____2_______. It is at x =
__π/4_______.
3. The maximum height of the graph of 2 sin x is ____2_______ . It is at x =
__π/2_______ .
4. The maximum height of the graph of sin 2x is ___1__ . It is at 2x = π/2
5. At x = __0 ______, sin x = 0, at x = __0___, sin 2x = 0 and at x = ___π/2_____,sin2x = 0.
6. In the interval [0, π], graphs of sin x, 2 sin x and sin 2x are _above______ x - axes and some portion of the graph of sin 2x lies _below______ x-axes.
7. Graphs of sin x and sin 2x intersect at x = __π/3_____ in the interval (0, π)
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Solution:
1. Graphs of sin x and 2 sin x are of same shape but the maximum height of the graph of sin x is __2______ the maximum height of the graph of Sinx is 1__________.
2. The maximum height of the graph of sin 2x is ____2_______. It is at x =
__π/4_______.
3. The maximum height of the graph of 2 sin x is ____2_______ . It is at x =
__π/2_______ .
4. The maximum height of the graph of sin 2x is ___1__ . It is at 2x = π/2
5. At x = __0 ______, sin x = 0, at x = __0___, sin 2x = 0 and at x = ___π/2_____,sin2x = 0.
6. In the interval [0, π], graphs of sin x, 2 sin x and sin 2x are _above______ x - axes and some portion of the graph of sin 2x lies _below______ x-axes.
7. Graphs of sin x and sin 2x intersect at x = __π/3_____ in the interval (0, π)
Hope, this helps you !