Question and Answers Forum

All Questions      Topic List

Differential Equation Questions

Previous in All Question      Next in All Question      

Previous in Differential Equation      Next in Differential Equation      

Question Number 168663 by DomaPeti last updated on 15/Apr/22

$$howtosolve?$$$$\frac{cos\left(30°\right)\cdot sin\left(45°\right)-cos(30°+dx)\cdot sin(45°+dx)}{dx}=?$$$$dx\to 0$$

Commented by cortano1 last updated on 15/Apr/22

$$\underset{dx\to 0}{\lim }\frac{\frac{1}{4}\sqrt{6}-\cos (30°+dx).\sin (45°+dx)}{dx}$$$$=\underset{dx\to 0}{\lim }\frac{\sin (30°+dx)\sin (45°+dx)-\cos (30°+dx)\cos (45°+dx)}{1}$$$$=\sin 30°\sin 45°-\cos 30°\cos 45°$$$$=\frac{1}{4}\sqrt{2}-\frac{1}{4}\sqrt{6}$$$$=\frac{1}{4}\sqrt{2}(1-\sqrt{3})$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com