Question and Answers Forum

All Questions      Topic List

Trigonometry Questions

Previous in All Question      Next in All Question      

Previous in Trigonometry      Next in Trigonometry      

Question Number 90507 by student work last updated on 24/Apr/20

$$$$$$\mathrm{if}{2}^{\sin \mathrm{x}}+2^{\cos \mathrm{x}}=2^{1+\frac{1}{\sqrt{2}}}\mathrm{then}\mathrm{find}\mathrm{the}\mathrm{value}\mathrm{of}\mathrm{x}=?$$

Commented by student work last updated on 24/Apr/20

$$\mathrm{who}\mathrm{can}\mathrm{solve}?$$

Commented by MJS last updated on 24/Apr/20

$$x=\frac{\pi }{4}+2n\pi ;n\in \mathbb{Z}$$$$\sin \frac{\pi }{4}=\cos \frac{\pi }{4}=\frac{\sqrt{2}}{2}$$$$2^{\frac{\sqrt{2}}{2}}+2^{\frac{\sqrt{2}}{2}}=2\times 2^{\frac{\sqrt{2}}{2}}=2^{1+\frac{\sqrt{2}}{2}}=2^{1+\frac{1}{\sqrt{2}}}$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com