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Question Number 4783 by Dnilka228 last updated on 10/Mar/16

$$\cos \alpha +\beta \approx {\left(\frac{\cos \alpha +\cos \beta }{{\cos }^{-1}\alpha +{\cos }^{-1}\beta }\right)}^{\alpha +\beta }$$$$\sin a+b\approx {\left(\frac{\sin a+\sin b}{{\sin }^{-1}a+{\sin }^{-1}b}\right)}^{a+b}$$$$\tan {(a+\frac{a}{b})}^k\approx \left(\frac{\tan (a+b)\times k}{{\tan }^{-1}(a+b)\times k}\right)$$

Commented by Dnilka228 last updated on 10/Mar/16

$$\sin {(a+\frac{a}{b})}^{\mathrm{\Gamma }}\approx \left(\frac{\sin (a+b)\times \mathrm{\Gamma }}{{\sin }^{-1}(a-b)\mathbf{÷}\mathrm{\Gamma }}\right)$$$$\cos {(\mathrm{\Gamma }=e+\frac{\pi }{2})}^{\alpha +\beta }\approx \left(\frac{\cos e+\cos \frac{\pi }{2}}{{\cos }^{-1}e-{\cos }^{-1}\frac{\pi }{2}}\right)$$

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