[tex] \cos(x) = - 0.1 \\ \cos {}^{2} (x) = ( - 0.1) {}^{2} = 0.01\\ \sin {}^{2} (x ) + \cos(x) {}^{2} = 1 \\ \sin {}^{2} ( x) = 1 - \cos {}^{2} (x) = \\ 1 - 0.01 = 0.99 \\ \\ 3 \sin {}^{2} (x) - 7 \cos {}^{2} (x) = \\ 3 \times 0.99 - 7 \times 0.01 = \\ 2.97 - 0.07 = 2.9[/tex]
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[tex] \cos(x) = - 0.1 \\ \cos {}^{2} (x) = ( - 0.1) {}^{2} = 0.01\\ \sin {}^{2} (x ) + \cos(x) {}^{2} = 1 \\ \sin {}^{2} ( x) = 1 - \cos {}^{2} (x) = \\ 1 - 0.01 = 0.99 \\ \\ 3 \sin {}^{2} (x) - 7 \cos {}^{2} (x) = \\ 3 \times 0.99 - 7 \times 0.01 = \\ 2.97 - 0.07 = 2.9[/tex]