Question and Answers Forum

All Questions      Topic List

Trigonometry Questions

Previous in All Question      Next in All Question      

Previous in Trigonometry      Next in Trigonometry      

Question Number 178388 by mathlove last updated on 16/Oct/22

 p(sin^(77) ((50)/(19)),cos((27)/(13)))  1) VI    2)III     3)II       4)I  In which region of the fixed coordinate system is this point located?

$$\:{p}\left({sin}^{\mathrm{77}} \frac{\mathrm{50}}{\mathrm{19}},{cos}\frac{\mathrm{27}}{\mathrm{13}}\right) \\ $$$$\left.\mathrm{1}\left.\right)\left.\:\left.{VI}\:\:\:\:\mathrm{2}\right){III}\:\:\:\:\:\mathrm{3}\right){II}\:\:\:\:\:\:\:\mathrm{4}\right){I} \\ $$In which region of the fixed coordinate system is this point located?

Answered by saboorhalimi last updated on 16/Oct/22

 p(+, −) ⇒ IV

$$\:{p}\left(+,\:−\right)\:\Rightarrow\:{IV}\: \\ $$

Commented by mathlove last updated on 16/Oct/22

pleas solve it

$${pleas}\:{solve}\:{it} \\ $$

Answered by mr W last updated on 16/Oct/22

((50)/(19))=((50π)/(19π))≈0.838π ∈((π/2), π)   sin ((50)/(19))>0 ⇒sin^(77)  ((50)/(19)) >0    ((27)/(13))=((27π)/(13π))≈0.661π ∈((π/2), π)  cos ((27)/(13))<0    p(+,−) ⇒ IV

$$\frac{\mathrm{50}}{\mathrm{19}}=\frac{\mathrm{50}\pi}{\mathrm{19}\pi}\approx\mathrm{0}.\mathrm{838}\pi\:\in\left(\frac{\pi}{\mathrm{2}},\:\pi\right)\: \\ $$$$\mathrm{sin}\:\frac{\mathrm{50}}{\mathrm{19}}>\mathrm{0}\:\Rightarrow\mathrm{sin}^{\mathrm{77}} \:\frac{\mathrm{50}}{\mathrm{19}}\:>\mathrm{0} \\ $$$$ \\ $$$$\frac{\mathrm{27}}{\mathrm{13}}=\frac{\mathrm{27}\pi}{\mathrm{13}\pi}\approx\mathrm{0}.\mathrm{661}\pi\:\in\left(\frac{\pi}{\mathrm{2}},\:\pi\right) \\ $$$$\mathrm{cos}\:\frac{\mathrm{27}}{\mathrm{13}}<\mathrm{0} \\ $$$$ \\ $$$${p}\left(+,−\right)\:\Rightarrow\:{IV} \\ $$

Commented by mathlove last updated on 16/Oct/22

thanks a lot sir

$${thanks}\:{a}\:{lot}\:{sir} \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com