If 5 sin2 θ = 3(1 + cos θ), 0° < θ < 90°, then the value of cosec θ + cot θ is:
\(\dfrac{4}{\sqrt{21}}\)
\(\sqrt{\dfrac{3}{7}}\)
\(\dfrac{5}{\sqrt{21}}\)
\(\sqrt{\dfrac{7}{3}}\)
If cot θ = \(\sqrt{2}\) + 1, then cosec θ sec θ =?
\(\dfrac{\sqrt{2}}{2}\)
\(\dfrac{\sqrt{2}}{4}\)
\(2\sqrt{2}\)
\(4\sqrt{2}\)
If tan A =\(\dfrac{1.1}{6}\), then what is the value of (4 cos A − 7 sin A)? Given that A is an acute angle.
\(2\dfrac{14}{61}\)
\(2\dfrac{41}{71}\)
\(2\dfrac{14}{71}\)
\(2\dfrac{41}{61}\)
If 0° < θ < 90°, then \(\dfrac{(1-\sin\theta)(\sec\theta + \tan\theta)\tan\theta}{(\tan\theta + \sec\theta + 1)(\cot\theta - \mathrm{cosec}\theta + 1)} = ?\)