Some Basic Types and Results of Triangles
1. An angle whose measurement is of $${90^ \circ }$$ is called a RIGHT ANGLE. 2. An angle whose measurement is greater than… Click here to read more
1. An angle whose measurement is of $${90^ \circ }$$ is called a RIGHT ANGLE. 2. An angle whose measurement is greater than… Click here to read more
1) ANGLE: The union of two non colinear rays which have a common end point is called an angle. 2)… Click here to read more
1) $$Sin\theta = \frac{{perpendicular}}{{hypotenuse}} = \frac{y}{r}$$ 2) $$Cos\theta = \frac{{base}}{{hypotenuse}} = \frac{x}{r}$$ 3) $$Tan\theta = \frac{{perpendicular}}{{base}} = \frac{y}{x} = \frac{{Sin\theta… Click here to read more
$$\alpha $$ $$Sin\alpha $$ $$Cos\alpha $$ $$Tan\alpha $$ $$Cot\alpha $$ $$Sec\alpha $$ $$Co\sec \alpha $$ $$ – \theta $$ $$… Click here to read more
\[Si{n^2}\theta + Co{s^2}\theta = 1\] \[1 + Ta{n^2}\theta = Se{c^2}\theta \] \[1 + Co{t^2}\theta = Cose{c^2}\theta \] \[Sin(\alpha + \beta… Click here to read more
\[Sina + Sinb = 2Sin\left( {\frac{{a + b}}{2}} \right)Cos\left( {\frac{{a – b}}{2}} \right)\] \[Sina – Sinb = 2Cos\left( {\frac{{a +… Click here to read more
Consider the triangle $$\Delta ABC$$, having the angles $$\alpha ,\beta ,\gamma $$ and sides $$a,b,c$$ as shown in the figure…. Click here to read more
1) If $$r$$ denotes in-radius, then \[r = \sqrt {\frac{{(s – a)(s – b)(s – c)}}{s}} = \frac{\Delta }{s}\] \[r… Click here to read more
\[Si{n^{ – 1}}a + Si{n^{ – 1}}b = Si{n^{ – 1}}(a\sqrt {1 – {b^2}} + b\sqrt {1 – {a^2}} )\]… Click here to read more
\[Sinhx = \frac{{{e^x} – {e^{ – x}}}}{2}\] \[Coshx = \frac{{{e^x} + {e^{ – x}}}}{2}\] \[Tanhx = \frac{{{e^x} – {e^{ –… Click here to read more
\[Sin{h^{ – 1}}x = {\log _e}\left| {x + \sqrt {{x^2} + 1} } \right|\] \[Cos{h^{ – 1}}x = {\log _e}\left|… Click here to read more
1) \[Sinh{\text{ }}ix = iSinx\] 2) \[Cosh{\text{ }}ix = Cosx\] 3) \[Tanh{\text{ }}ix = iTanx\] 4) \[iSinhx = Sin{\text{ }}ix\]… Click here to read more
1) \[Sinx = \frac{{{e^{ix}} – {e^{ – ix}}}}{{2i}}\] 2) \[Cosx = \frac{{{e^{ix}} + {e^{ – ix}}}}{2}\] 3) \[Tanx = \frac{{{e^{ix}}… Click here to read more
1) \[Si{n^{ – 1}}x = \frac{1}{i}Log(ix + \sqrt {1 – {x^2}} )\] 2) \[Co{s^{ – 1}}x = \frac{1}{i}Log(x + \sqrt… Click here to read more