Question 14 MarksProve that $(1+\cot \theta-\operatorname{cosec} \theta)(1+\tan \theta+\sec \theta)=2$.AnswerSelfView full question & answer→
Question 24 MarksProve that : $\frac{1}{(\sec \theta-\tan \theta)}-\frac{1}{\cos \theta}=\frac{1}{\cos \theta}-\frac{1}{\sec \theta+\tan \theta}$AnswerSelfView full question & answer→
Question 34 MarksIf $x=a \sec \alpha \cos \beta, y=b \sec \alpha \sin \beta$ and $z=c \tan \alpha$, then evaluate $\frac{x^2}{a^2}+\frac{y^2}{b^2}-\frac{z^2}{c^2}$.AnswerSelfView full question & answer→
Question 44 MarksIf $x=a \sec \theta+b \tan \theta$ and $y=a \tan \theta+b \sec \theta$, then show that $\frac{a^2-b^2}{x^2-y^2}$.AnswerSelfView full question & answer→
Question 54 MarksProve that : $\frac{(\sec \theta+\tan \theta-1)(\sec \theta-\tan \theta+1)}{\tan \theta}=2$AnswerSelfView full question & answer→
Question 64 MarksProve that : $\frac{\tan \mathrm{A}}{1-\cot \mathrm{A}}+\frac{\cot \mathrm{A}}{1-\tan \mathrm{A}}=\tan \mathrm{A}+\cot \mathrm{A}+1$AnswerSelfView full question & answer→
Question 74 MarksExpress, $a \cos \theta-b \sin \theta$ in terms of $a, b$ and $c$, where $a \sin \theta+b \cos \theta=c$.AnswerSelfView full question & answer→
Question 84 MarksIf $\tan \theta+\sec \theta=m$, then find the value of $\frac{m^2+1}{2 m}$.AnswerSelfView full question & answer→
Question 94 MarksProve that: $\frac{\sec \theta+\tan \theta-1}{\tan \theta-\sec \theta+1}=\frac{1+\sin \theta}{\cos \theta}$AnswerSelfView full question & answer→
Question 104 MarksIf $\tan \theta+\sin \theta=m$ and $\tan \theta-\sin \theta=n$, show that $m^2-n^2=4 \sqrt{m n}$AnswerSelfView full question & answer→