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 - axesand 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 x 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:
4. The maximum height of the graph of sin 2xis ___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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