# Trigonometry

## Trigonometry Examples

Here you will learn some trigonometry examples for better understanding of trigonometry concepts. Example 1 : $$sin5x + sin2x – sinx\over {cos5x + 2cos3x + 2cos^x + cosx}$$ is equal to – Solution : L.H.S. = $$2sin2xcos3x + sin2x\over{2cos3x.cos2x + 2cos3x + 2cos^2x}$$ = $$sin2x[2cos3x+1]\over {2[cos3x(cos2x+1)+(cos^2x)]}$$ = $$sin2x[2cos3x+1]\over {2[cos3x(2cos^2x)+(cos^2x)]}$$ = $$sin2x[2cos3x+1]\over {2cos^2x(2cos3x+1)}$$ = tanx Example …

## Conditional Trigonometric Identities – Maximum & Minimum Value

Here, you will learn conditional trigonometric identities and maximum and minimum value in trigonometry. Let’s begin – Maximum and Minimum values in Trigonometry Expressions : (i)  acos$$\theta$$ + bcos$$\theta$$ will always lie in the interval [-$$\sqrt{a^2+b^2}$$, $$\sqrt{a^2+b^2}$$] i.e. the maximum and minimum values are $$\sqrt{a^2+b^2}$$, -$$\sqrt{a^2+b^2}$$ respectively. (ii)  Minimum value of $$a^2tan^2\theta$$ + $$b^2\tan^2\theta$$ = …

## Graph of Trigonometric Functions – Domain & Range

Here, you will learn graph of trigonometric functions and domain & range of trigonometric functions. Graph of Trigonometric Functions : y = sinx y = cosx y = tanx y = cotx y = secx y = cosecx Values of T-Ratio of some standard angles AnglesT-Ratio 0 $$\pi\over 6$$ $$\pi\over 4$$ $$\pi\over 3$$ $$\pi\over 2$$ …

## Trigonometric Identities for Class 10th – Formulas

Here, you will learn various trigonometric identities for class 10th and formulas of trigonometry. Let’s begin- In a right angle triangle sin$$\theta$$ = $$p\over h$$; cos$$\theta$$ = $$b\over h$$; tan$$\theta$$ = $$p\over b$$; cosec$$\theta$$ = $$h\over p$$; sec$$\theta$$ = $$h\over b$$ and cot$$\theta$$ = $$b\over p$$ where ‘p’ is perpendicular ; ‘b’ is base and …