Chhattisgarh Board Solutions for Exercise 4: Exercise

One of the trigonometric ratio is given as $\mathrm{cosec\theta }=\sqrt{10}$, find the remaining trigonometric ratios.

If  $\mathrm{cot\theta }=\frac{21}{20}$,find the value of $\mathrm{sin\theta }\times \mathrm{cos\theta }$.

If  $\cos \theta =\frac{4}{5}$, find the value of $\frac{\cot \theta -\sin \theta }{2\tan \theta }$.

If  $\mathrm{sec\theta }=\frac{5}{3}$, find the value of $\frac{\mathrm{tan\theta }-\mathrm{sin\theta }}{1+\mathrm{tan\theta sin\theta }}$.

If $\sin \theta =\frac{1}{3}$ then find the value of $k$ in $\cos \theta .\mathrm{cosec}\theta +\tan \theta .\sec \theta =\frac{1}{8}$$\left(k\sqrt{2}+3\right)$.

In a right angled triangle,$△\mathrm{ABC}$,right angled at $\angle \mathrm{C}$,and $\mathrm{tanA}=\frac{1}{\sqrt{3}}$,then find the value of $\mathrm{sinA}.\mathrm{cosB}+\mathrm{cosA}.\mathrm{sinB}$

If  $\mathrm{cotA}=\frac{3}{4}$,find the value of $\frac{\mathrm{sinA}+\mathrm{cosA}}{\mathrm{sinA}-\mathrm{cosA}}$.

If  $\mathrm{sin\theta }=\frac{4}{5}$,find the value of $\frac{4\mathrm{tan\theta }-5\mathrm{cos\theta }}{\mathrm{sec\theta }+4\mathrm{cot\theta }}$.