Tangent of angle sums Using the definition of the tangent of an angle given in the text, verify that for any two acute angles a, ß, tan(a +ß) = tan a + tan 3 1- tan a tan B

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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[Classical Geometries] How do you solve this question? Use the definition of tan alpha in the picture given

Definition
r'
If a is an angle formed by two rays r,
lying on lines of slopes m, m', we define
the tangent of a to be
tan α = +
m'
m
1 + mm'
where we take + if the angle is acute
and – if the angle is obtuse.
-
مسکڑ
A
Transcribed Image Text:Definition r' If a is an angle formed by two rays r, lying on lines of slopes m, m', we define the tangent of a to be tan α = + m' m 1 + mm' where we take + if the angle is acute and – if the angle is obtuse. - مسکڑ A
2. Tangent of angle sums
Using the definition of the tangent of an
angle given in the text, verify that for any two acute angles a, ß,
tan(a + 3)
=
tan a + tan 3
1- tan a tan
Transcribed Image Text:2. Tangent of angle sums Using the definition of the tangent of an angle given in the text, verify that for any two acute angles a, ß, tan(a + 3) = tan a + tan 3 1- tan a tan
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