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 …
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 \(a^2tan^2\theta\) + \(b^2\tan^2\theta\) = …
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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 \(\pi\over 6\) \(\pi\over 4\) \(\pi\over 3\) \(\pi\over 2\) …
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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 …
Trigonometric Identities for Class 10th – Formulas Read More »
