Category: Trigonometry

Question Number 49660 by Rio Michael last updated on 08/Dec/18 Commented by Rio Michael last updated on 08/Dec/18 $${Above}\:{is}\:{a}\:{Circle}\:{with}\:{centre}\:{O}\:.{If}\:{it}\:{has}\:{radius}\:{of}\:\mathrm{10}{cm} \\ $$$${find}\:{the}\:{lenght}\:{of}\:{the}\:{line}\:{AC}.{Note}\::\:\angle{AOC}=\mathrm{30}° \\ $$ Answered by…

Question Number 115121 by bemath last updated on 23/Sep/20 $${solve}\:\begin{cases}{\mathrm{tan}\:{x}\:+\:\mathrm{cot}\:{x}\:=\:{p}}\\{\mathrm{sec}\:{x}\:−\:\mathrm{cos}\:{x}\:=\:{q}}\end{cases} \\ $$ Commented by ATHISHHUZAIN last updated on 23/Sep/20 $${f}\left({x}\right)\:=\:\begin{cases}{\mathrm{2}{x}+\mathrm{1}\:\:\:\:\:{o}}\\{\mathrm{sec}\:{x}\:−\:\mathrm{cos}\:{x}\:=\:{q}}\end{cases} \\ $$ Commented by bemath…

Question Number 115022 by dw last updated on 23/Sep/20 $$\left[\boldsymbol{{Q}}.\mathrm{1}\:\right]\:\:\:{Find}\:{the}\:{domain}\:{of} \\ $$$$\:\:\:\: \\ $$$$\:\:\:\:\:\:\:{f}\left({x}\right)=\frac{\lfloor{cos}^{−\mathrm{1}} \left({x}^{\mathrm{4}} \right)\rfloor+\mid\lfloor{x}−\mathrm{2}{tan}^{−\mathrm{1}} \left({x}\right)\rfloor\mid+\sqrt{{sin}\left({lnx}\right)}}{\left\{\mathrm{3}{x}^{\mathrm{2}} −\mathrm{7}\right\}+{a}^{\sqrt{{sin}\left({x}\right)+\mathrm{3}{cos}\left({x}\right)}} +{ln}\:{cos}\left(\frac{\mathrm{1}}{\:\sqrt{−{x}^{\mathrm{2}} }}\right)} \\ $$$${where}\:\left\{{x}\right\}\:{reprents}\:\:{the}\:{fractionare}\:{part}\:{of}\:{x}: \\ $$$$ \\…

Question Number 180368 by 281981 last updated on 11/Nov/22 Commented by 281981 last updated on 11/Nov/22 $${ans}:−\pi\:{where}\:{x}\in\left[−\mathrm{1}\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\right] \\ $$ Commented by mr W last updated…

Question Number 114764 by dw last updated on 21/Sep/20 $${Find}\:{period}\:{of}\:{f}\left({x}\right)={e}^{{cos}^{\mathrm{4}} \left(\pi{x}\right)+{x}−\lfloor{x}\rfloor+{cos}^{\mathrm{2}} \left(\pi{x}\right)} \\ $$$$ \\ $$ Answered by PRITHWISH SEN 2 last updated on 22/Sep/20…