Trigonometric functions
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Let us do some maths here!
No proofs
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We include no proofs whatsoever.
Integration
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As the derivative of :math:`\sin x` is :math:`\cos x`, and that of :math:`\cos x` is :math:`-\sin x`, we have
.. math::
\int_{a}^{b}\cos x dx = \sin b - \sin a
\int_{a}^{b}\sin x dx = \cos a - \cos b
Isn't that beautiful?