Right Spherical Triangle
Case of the Right spherical triangle: Right at .
If the triangle has more than one interior angle with a value of , it is said to be oblique.
The Napier’s Circle:
In the right triangle, the sides and angles are written in a consecutive way but without the right angle itself while taking the complementary angles for the quantities opposite to the right angle.
From the graph:
Sine rule for opposite parts:
The sine of any middle part is equal to the product of the cosines of its opposite parts.
Example:
This gives:
Sine rule for adjacent parts:
We can use what we know to verify the following:
Case 1:
Case 2:
Case 3:
Case 4:
Case 5:
Case 6:
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