Prove that:
$\tan 8\mathrm{x}-\tan 6\mathrm{x}-\tan 2\mathrm{x}=\tan 8x \tan 6x \tan 2\mathrm{x}$

Important Questions on Values of Trigonometric Functions at Sum or Difference of Angles

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 7 - Values of Trigonometric Functions at Sum or Difference of Angles>EXERCISE 7.1>Q 17

Prove that:
$\tan \frac{\mathrm{\pi }}{12}+\tan \frac{\mathrm{\pi }}{6}+\tan \frac{\mathrm{\pi }}{12}\tan \frac{\mathrm{\pi }}{6}=1$

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 7 - Values of Trigonometric Functions at Sum or Difference of Angles>EXERCISE 7.1>Q 17

Prove that:
$\tan {36}^{\mathrm{o}}+\tan 9^{\mathrm{o}}+\tan {36}^{\mathrm{o}}\tan 9^{\mathrm{o}}=1$

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 7 - Values of Trigonometric Functions at Sum or Difference of Angles>EXERCISE 7.1>Q 17

Prove that:
$\tan 13\mathrm{x}-\tan 9\mathrm{x}-\tan 4\mathrm{x}=\tan 13x \tan 9x \tan 4\mathrm{x}$

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 7 - Values of Trigonometric Functions at Sum or Difference of Angles>EXERCISE 7.1>Q 18

Prove that: $\frac{{\tan }^{2}2\mathrm{x}-{\tan }^2\mathrm{x}}{1-{\tan }^{2}2x {\tan }^2\mathrm{x}}=\tan 3x \mathrm{tanx}$

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 7 - Values of Trigonometric Functions at Sum or Difference of Angles>EXERCISE 7.1>Q 19

If $\frac{\sin \left(\mathrm{x}+\mathrm{y}\right)}{\sin \left(\mathrm{x}-\mathrm{y}\right)}=\frac{\mathrm{a}+\mathrm{b}}{\mathrm{a}-\mathrm{b}},$ Show that $\frac{\mathrm{tanx}}{\mathrm{tany}}=\frac{\mathrm{a}}{\mathrm{b}}.$

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 7 - Values of Trigonometric Functions at Sum or Difference of Angles>EXERCISE 7.1>Q 20

If $\mathrm{tanA}=\mathrm{xtanB}$, Prove that $\frac{\sin \left(\mathrm{A}-\mathrm{B}\right)}{\sin \left(\mathrm{A}+\mathrm{B}\right)}=\frac{\mathrm{x}-1}{\mathrm{x}+1}.$

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 7 - Values of Trigonometric Functions at Sum or Difference of Angles>EXERCISE 7.1>Q 21

If $\tan \left(\mathrm{A}+\mathrm{B}\right)=\mathrm{x}$ and $\tan \left(\mathrm{A}-\mathrm{B}\right)=\mathrm{y},$ find the values of $\tan 2\mathrm{A}$ and $\tan 2\mathrm{B}$.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 7 - Values of Trigonometric Functions at Sum or Difference of Angles>EXERCISE 7.1>Q 22

If $\mathrm{cosA}+\mathrm{sinB}=\mathrm{m}$ and $\mathrm{sinA}+\mathrm{cosB}=\mathrm{n}$, Prove that $2\mathrm{s}\mathrm{i}\mathrm{n}$ $\left(\mathrm{A}+\mathrm{B}\right)={\mathrm{m}}^2+{\mathrm{n}}^2-2$.