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OLLSCOIL NA Hermann, GALLIUM NATIONAL UNIVERSITY OF IRELAND, GALWAY SEMESTER I EXAMINATIONS 2001/2002 THIRD YEAR ELECTRONIC ENGINEERING THIRD YEAR ELECTRONIC AND COMPUTER ENGINEERING EE308 SIGNALS

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How to fill out sinax axcosax - john

01

Start by separating the equation into two parts: sin(ax) and cos(ax).

02

Use trigonometric identities to simplify the equation. For sin(ax), you can use the formula sin(2θ) = 2sinθcosθ to transform it into 2sin(ax)cos(ax). For cos(ax), you can use the formula cos(2θ) = cos^2θ - sin^2θ to transform it into cos^2(ax) - sin^2(ax).

03

Combine the simplified equations: 2sin(ax)cos(ax) + cos^2(ax) - sin^2(ax).

04

Simplify further by using the Pythagorean identity sin^2θ + cos^2θ = 1. Apply this identity to eliminate the sin^2(ax) term, which will result in: 2sin(ax)cos(ax) + cos^2(ax) - (1-cos^2(ax)).

05

Expand the equation: 2sin(ax)cos(ax) + cos^2(ax) - 1 + cos^2(ax).

06

Combine like terms to obtain the final expression: 3cos^2(ax) + 2sin(ax)cos(ax) - 1.

Who needs sinax axcosax - john?

01

This equation may be of interest to mathematics students studying trigonometry or calculus.

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Engineers or scientists who work with periodic functions or waveforms could also find this equation relevant.

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Professionals in various fields, such as physics, finance, or computer science, who encounter trigonometric functions in their work may benefit from understanding this equation.

Remember, this equation represents a mathematical expression and its relevance may vary depending on individual's specific needs, interests, and professional background.

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