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7nadin3
10 days ago
14

For the angles α and β in the figures, find cos(α + β)?

Mathematics
2 answers:
Svet_ta [9.5K]10 days ago
4 0
For the small triangle, both legs are known, allowing the use of the tangent function to determine the angle. In the larger triangle, we know the hypotenuse and the opposite leg, which enables the use of the sine function for angle calculation. Thus, the total of these angles will lead us to the solution.
Inessa [9K]10 days ago
3 0
Let h units denote the hypotenuse of the smaller triangle. From the Pythagorean Theorem, we derive specific relationships involving the smaller triangle with dimensions

\cos (\alpha)=\frac{4}{2\sqrt{5} }=\frac{2}{\sqrt{5} } along with the shorter leg of the second triangle denoted as s units. Furthermore, we apply the double angle property and substitute values to arrive at the final calculation.

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