Math Doubts
October 2, 2017
inverse trigonometry problem with solution
Find the value of $\sin^{-1} \Big[\sqrt{2} \sin \theta \Big]$ $\,+\,$ $\sin^{-1} \Big[\sqrt{\cos 2\theta}\Big]$
September 30, 2017
limit math problem with solution
Evaluate $\displaystyle \large \lim_{x \,\to\, 3} \dfrac{\sqrt{3x}-3}{\sqrt{2x-4}-\sqrt{2}}$
September 26, 2017
quadratic equation with solution
Find the value of $p$ if $px^2+2x+3p = 0$ is the quadratic equation and having equal roots
September 25, 2017
math problem with solution
Evaluate $\displaystyle \sum_{n \,=\, 2}^{127} \log_{2} \Bigg(1+\dfrac{1}{n}\Bigg)$
September 24, 2017
limit problem with solution
Evaluate $\displaystyle \Large \lim_{x \,\to\, 0} \, \normalsize \dfrac{\sqrt[\displaystyle k]{1+x}-1}{x}$
September 21, 2017
exponents problem with solution
Find the value of $\log_{d} abc$ if $a^2 \,=\, b^3 \,=\, c^5 \,=\, d^6$
September 18, 2017
quadratic equation problem with solution
Evaluate $c^2 -a^2(1 + m^2)$ if roots are equal for the quadratic equation $(1+m^2)x^2$ $+$ $2cmx$ $+$ $(c^2 \,–\, a^2) = 0$
September 15, 2017
limit problem with solution
Evaluate $\displaystyle \Large \lim_{x \,\to\, 0} \normalsize \dfrac{1-\sqrt{1-\tan x}}{\sin x}$
September 14, 2017
logarithm problem with solution
If $\dfrac{\log a}{b-c}$ $\,=\,$ $\dfrac{\log b}{c-a}$ $\,=\,$ $\dfrac{\log c}{a-b}$, find the value of $abc$
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