Math Doubts

Triple angle identities Questions with solutions

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The list of trigonometry questions on triple angle identities for practice with understandable solutions to learn how to use the triple angle trigonometric identities as formulas in math problems. The triple angle trigonometric problems were solved here in different methods to enhance problem-solving skill in you. So, learn each method to get solution for any type of trigonometric question with triple angle identities.

$(1).\,\,$ Find $\dfrac{\sin{3x}}{\sin{x}}$ $-$ $\dfrac{\cos{3x}}{\cos{x}}$

$(2).\,\,$ Evaluate $\dfrac{\cos{x}-\cos{3x}}{\cos{x}}$ $+$ $\dfrac{\sin{x}+\sin{3x}}{\sin{x}}$

$(3).\,\,$ Calculate $\dfrac{\cos^3{x}-\cos{3x}}{\cos{x}}$ $+$ $\dfrac{\sin^3{x}+\sin{3x}}{\sin{x}}$

$(4).\,\,$ Find $(\sin{3x}+\sin{x})\sin{x}$ $+$ $(\cos{3x}-\cos{x})\cos{x}$

Ashok Kumar B.E. - Founder of Math Doubts

Ashok Kumar, B.E.

Founder of Math Doubts

A Specialist in Mathematics, Physics, and Engineering with 14 years of experience helping students master complex concepts from basics to advanced levels with clarity and precision.