\(\displaystyle{\sin{{\left({x}\right)}}}=-\frac{{1}}{{3}},{w}{h}{e}{r}{e}π{<}{x}{<}{3}

asked 2021-08-15

Find the exact value of the expression \(\displaystyle{\tan{{\left({\frac{{{4}\pi}}{{{3}}}}-{\frac{{\pi}}{{{4}}}}\right)}}}\)

asked 2021-08-15

asked 2021-08-16

If \(\displaystyle{\sin{{\left({3}{x}+{5}\right)}}}={\cos{{\left({2}{x}-{10}\right)}}}\) what is the value of x?

asked 2021-08-11

If \(\displaystyle{\tan{{A}}}={\tan{{B}}}\) and \(\displaystyle{\sin{{A}}}={m}{\sin{{B}}}\), prove that \(\displaystyle{{\cos}^{{2}}{A}}={\frac{{{m}^{{2}}-{1}}}{{{n}^{{2}}-{1}}}}\)

asked 2021-08-20

If \(\displaystyle{\tan{{x}}}={\frac{{{b}}}{{{a}}}}\), then find the value of \(\displaystyle\sqrt{{{\frac{{{a}+{b}}}{{{a}-{b}}}}}}+\sqrt{{{\frac{{{a}-{b}}}{{{a}+{b}}}}}}\)

asked 2021-08-15

Find the value of \(\displaystyle{{\tan}^{{-{1}}}\sqrt{{{3}}}}-{{\sec}^{{-{1}}}{\left(-{2}\right)}}\)

asked 2021-08-13

Find the exact value of the expression \(\displaystyle{\tan{{\left[{{\cos}^{{-{1}}}{\left(-{\frac{{\sqrt{{{3}}}}}{{{2}}}}\right)}}\right]}}}\) Do not use a calculator.