Concept explainers
Whether any trigonometric equation which has an infinite number of solutions is an identity or not.
Answer to Problem 137RE
Any trigonometric equation which has an infinite number of solutions is not an identity.
Explanation of Solution
Formula used:
The Pythagorean identity:
The general solution of the trigonometric equation
Know that if a trigonometric equation has an infinite number of solutions then it is not necessary that the equation is an identity.
Consider a trigonometric equation
Write the above equation as:
It is known that the general solution of the trigonometric equation
So, for the equation
Here,
Substitute
Thus, the general solution of the trigonometric equation
Hence, any trigonometric equation which has an infinite number of solutions is not an identity.
Chapter 5 Solutions
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