sinusoidal trigonometrical function, Engineering Mathematics

sinusoidal trigonometrical function, Engineering Mathematics

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The displacement x meters of a mass from a fixed point about which it is oscillating is given by x=2.3cos?10pt+4.2sin?10pt where t is the time in seconds

Express the displacement in the form x=A sin??(?t+ Ø)?
Draw one cycle of the waveform and label amplitude and periodic time
Describe amplitude, periodic time, and frequency in relation to the displacement

On one graph draw one complete cycle for the following waveforms

?10 sin???(x+p/3)?

?10 sin???(x+ 2p/3)?

10 sin??(x+ p/3)+10 sin??(x+ 2p/3)? ?

Compare waveform iii. to cos?x

Use compound angle formulae to prove your observation.

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Sin2+cos2=, sin2+cos2=

sin2+cos2=

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