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Find the instantaneous value at 90⁰ point of the sine wave if the wave is shifted by 45⁰.

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Find the instantaneous value at 90⁰ point of the sine wave if the wave is shifted by 45⁰.

(a) 5.66

(b) 6.66

(c) 7.66

(d) 8.66

The question was asked during an internship interview.

My question is from Voltage and Current Values of a Sine Wave topic in section Introduction to Alternating Currents and Voltages of Network Theory

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The correct answer is (a) 5.66

The best I can explain: The equation for sine wave A is v(t) = 10sinωt. The equation for sine wave A is v(t) = 8sin(ωt-π/4). ωt  = π/2. v (t) = 8sin(π/2-π/4) = 8sin45⁰=8(0.707) = 5.66V.

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