Find the solution to the equation: tan(2θ + 5)=cot(3θ -20)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the solution to the equation: tan(2θ + 5)=cot(3θ -20)

The image contains handwritten mathematical notation:

\[ \text{2) } \tan(20 + 5) = \cot(30 - 20) \]

Explanation:

This is a trigonometric equation comparing the tangent of the sum of angles \(20\) and \(5\) with the cotangent of the difference between angles \(30\) and \(20\). In this context, \(\tan\) stands for tangent and \(\cot\) stands for cotangent, which are trigonometric functions used to relate the angles of triangle to the ratios of its sides.
Transcribed Image Text:The image contains handwritten mathematical notation: \[ \text{2) } \tan(20 + 5) = \cot(30 - 20) \] Explanation: This is a trigonometric equation comparing the tangent of the sum of angles \(20\) and \(5\) with the cotangent of the difference between angles \(30\) and \(20\). In this context, \(\tan\) stands for tangent and \(\cot\) stands for cotangent, which are trigonometric functions used to relate the angles of triangle to the ratios of its sides.
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