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The expression given is:

\[
E = \frac{\sin 10^\circ}{\cos 80^\circ} + \frac{2 \cdot \tan 20^\circ}{\cot 70^\circ} - \frac{3 \cdot \sec 40^\circ}{\csc 50^\circ}
\]

Let's solve this step by step:

1. **First Term**: \(\frac{\sin 10^\circ}{\cos 80^\circ}\)

   Notice that \(\cos 80^\circ =

Learn how to calculate the trigonometric expression involving sin, cos, tan, sec, and csc with detailed step-by-step solution. This problem covers key trigonometric concepts and ratios, including sine, cosine, tangent, secant, and cosecant. Suitable for advanced high school and beyond.

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