To find: Derive the law of tangent for any triangle.
Answer to Problem 61AYU
The law of tangent is
Explanation of Solution
Given information:
The given triangle is ABC
Its sides and opposite angle are
Concept used:
Law of Sine:
If ABC is a triangle with sides
The Mollweide’s formula is
The relation of between the sides of triangle ABC is.
Dividing with
By using the Mollweide’s formula,
Substitute the values of equation
Simplify by Trig formula,
From equation
The sum of angle of the triangle
Substitute the values of angle
The angle of
Applied it
From equation
Hence, the law of Tangent is
Chapter 8 Solutions
Precalculus
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Glencoe Math Accelerated, Student Edition
University Calculus: Early Transcendentals (4th Edition)
Precalculus (10th Edition)
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