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First published on Thursday, Jan 9, 2025 and last modified on Thursday, Jan 9, 2025
Mathedu
Angle, Trigonometry
In that test, you will discover the formulae for \( \cos(2a)\) and \( \sin(3a)\) , using the trigonometric formulae you already learned.
Use the formula of the cosine of a sum to develop \( \cos(3a)\) .
Use any of the formulae of the cosine and the sine of a double to develop the expression obtained in the previous section.
Use the fundamental identity of the trigonometry \( \cos^2(a)+\sin^2(a)=1\) to deduce an expression of \( \cos(3a)\) that depends only on \( \cos(a)\) .
Use the formula of the sine of a sum to develop \( \sin(3a)\) .
Use any of the formulae of the cosine and the sine of a double to develop the expression obtained in the previous section.
Use the fundamental identity of the trigonometry \( \cos^2(a)+\sin^2(a)=1\) to deduce an expression of \( \sin(3a)\) tha depends only on \( \sin(a)\) .
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