Question 11 MarkWhat is the value of $\left(1+\tan ^2 \theta\right)(1-\sin \theta)(1+\sin \theta)$?Answer1View full question & answer→
Question 21 MarkWhat is the value of $\sin ^2 \theta+\frac{1}{1+\tan ^2 \theta}?$Answer1View full question & answer→
Question 31 MarkIf $\operatorname{cosec} \theta=2 x$ and $\cot \theta=\frac{2}{x}$, find the value of $2\left(x^2-\frac{1}{x^2}\right)$.Answer$\frac{1}{2}$View full question & answer→
Question 41 MarkIf $5 x=\sec \theta$ and $\frac{5}{x}=\tan \theta$, find the value of $5\left(x^2-\frac{1}{x^2}\right)$.Answer$\frac{1}{5}$View full question & answer→
Question 51 MarkIf $\sin \theta=\frac{1}{3}$, then find the value of $2 \cot ^2 \theta+2$.Answer18View full question & answer→
Question 61 MarkIf $\sec ^2 \theta(1+\sin \theta)(1-\sin \theta)=k$, then find the value of $k$.Answer1View full question & answer→
Question 71 MarkIf $\cos A=\frac{7}{25}$, find the value of $\tan A+\cot A$.Answer$\frac{625}{168}$View full question & answer→
Question 81 MarkIf $\sin ^2 \theta \cos ^2 \theta\left(1+\tan ^2 \theta\right)\left(1+\cot ^2 \theta\right)=\lambda$, then find the value of $\lambda$.Answer1View full question & answer→
Question 91 MarkIf $\operatorname{cosec} \theta-\cot \theta=\alpha$, write the value of $\operatorname{cosec} \theta+\cot \theta$.Answer$\frac{1}{\alpha}$View full question & answer→
Question 101 MarkIf $\sec \theta+\tan \theta=x$, write the value of $\sec \theta-\tan \theta$ in terms of $x$.Answer$\frac{1}{x}$View full question & answer→
Question 111 MarkIf $\cos \theta=\frac{3}{4}$, then find the value of $9 \tan ^2 \theta+9$.Answer16View full question & answer→
Question 121 MarkWhat is the value of $\frac{\tan ^2 \theta-\sec ^2 \theta}{\cot ^2 \theta-\operatorname{cosec}^2 \theta}$?Answer1View full question & answer→
Question 131 MarkWhat is the value of $6 \tan ^2 \theta-\frac{6}{\cos ^2 \theta}$?Answer-6View full question & answer→
Question 141 MarkWhat is the value of $9 \cot ^2 \theta-9 \operatorname{cosec}^2 \theta$?Answer-9View full question & answer→
Question 151 MarkIf $\sin \theta=\frac{4}{5}$, what is the value of $\cot \theta+\operatorname{cosec} \theta?$Answer2View full question & answer→
Question 161 MarkIf $x = a \sin \theta$ and $y=b \cos \theta$, what is the value of $b^2 x^2+a^2 y^2$?Answer$a^2 b^2$View full question & answer→
Question 171 MarkWrite the value of $\cot ^2 \theta-\frac{1}{\sin ^2 \theta}$.Answer-1View full question & answer→
Question 181 MarkIf $\operatorname{cosec}^2 \theta(1+\cos \theta)(1-\cos \theta)=\lambda$, then find the value of $\lambda$.Answer1View full question & answer→
Question 191 MarkWhat is the value of $\left(1+\cot ^2 \theta\right) \sin ^2 \theta$?Answer1View full question & answer→
Question 201 MarkWhat is the value of $\left(1-\cos ^2 \theta\right) \operatorname{cosec}^2 \theta$?Answer1View full question & answer→