Question 11 MarkIf $\sin ^4 A-\cos ^4 A=1$ and $0 < A \leq 90^{\circ}$, then A = ____________ .Answer$90^{\circ}$View full question & answer→
Question 21 MarkIf $2 \sin \theta+3 \cos \theta=2$, then $3 \sin \theta-2 \cos \theta$ = ____________ .Answer$\pm 3$View full question & answer→
Question 31 MarkIf $(\tan \theta+2)(2 \tan \theta+1)=A \tan \theta+B \sec ^2 \theta$, then AB = ____________ .Answer10View full question & answer→
Question 41 Mark$\sqrt{-4+\sqrt{8+16 \operatorname{cosec}^4 \theta+\sin ^4 \theta}}=A \operatorname{cosec} \theta+B \sin \theta$, then A = ____________ and B = ____________ .Answer$A=2, B=-1$View full question & answer→
Question 51 MarkThe value of $(\operatorname{cosec} \theta-\sin \theta)(\sec \theta-\cos \theta)(\tan \theta+\cot \theta)$ is ____________ .Answer1View full question & answer→
Question 61 MarkIf $\frac{\tan ^3 \theta-1}{\tan \theta-1}=A \sec ^2 \theta+B \tan \theta$, then A+B = ____________ .Answer2View full question & answer→
Question 71 MarkIf $\cos \theta+\cos ^2 \theta=1$, then $\sin ^2 \theta+\sin ^4 \theta$ = ____________ .Answer1View full question & answer→
Question 81 MarkIf $\frac{\sin ^2 \theta-3 \sin \theta+2}{\cos ^2 \theta}=1$, then $\theta$ = ____________ .Answer$30^{\circ}$View full question & answer→
Question 91 MarkIf $\sin \theta-\cos \theta=\frac{3}{5}$, then $\sin \theta \cos \theta$ = ____________ .Answer$\frac{8}{25}$View full question & answer→
Question 101 MarkThe value of $\frac{\cos ^4 \theta+\cos ^2 \theta \sin ^2 \theta+\sin ^2 \theta}{\cos ^2 \theta+\cos ^2 \theta \sin ^2 \theta+\sin ^4 \theta}$ ____________ .Answer1View full question & answer→
Question 111 MarkIf $\sec \theta+\tan \theta=m$, then the value of $\sec ^4 \theta-\tan ^4 \theta-2 \sec \theta \tan \theta$ is ____________ .Answer$\frac{1}{m^2}$View full question & answer→
Question 121 MarkIf $\operatorname{cosec} \theta-\cot \theta=2$, then find the value of $\operatorname{cosec}^2+\cot ^2 \theta$ is ____________ .Answer$\frac{17}{8}$View full question & answer→
Question 131 MarkIf $\operatorname{cosec} \theta+\cot \theta=3$, then $\cos \theta$ = ____________ .Answer$\frac{4}{5}$View full question & answer→
Question 141 MarkIf $\sqrt{\left(1-\cos ^2 \theta\right) \sec ^2 \theta}=k \tan \theta$ and $0<\theta<90^{\circ}$, then $k$ = ____________ .Answer1View full question & answer→
Question 151 MarkIf $\frac{1}{1+\sin \theta}+\frac{1}{1-\sin \theta}=k \sec ^2 \theta$, then the value of $k$ is ____________ .Answer2View full question & answer→
Question 161 MarkThe value of $\frac{\sin ^4 \theta-\cos ^4 \theta}{\sin ^2 \theta-\cos ^2 \theta}$ is ____________ .Answer1View full question & answer→