Question 11 MarkIf $\triangle ABC$ is an isosceles right triangle right angled at $B$, then $\frac{\tan A+\cot C}{\cot A+\cot C}$ ____________ .Answer1View full question & answer→
Question 21 MarkIf $\sin (A+B)=\cos (A-B)=\frac{\sqrt{3}}{2}$, then $\cot 2 A$ = ____________ .Answer0View full question & answer→
Question 31 MarkIf $\sin \theta+\cos \theta=1$ and $0^{\circ} \leq \theta \leq 90^{\circ}$, then the possible values of $\theta$ are ____________ .Answer$0^{\circ}$ and $90^{\circ}$View full question & answer→
Question 41 MarkIf $\tan \theta+\cot \theta=2$ and, $0^{\circ}<\theta<90^{\circ}$ then $\tan ^{10} \theta+\cot ^{10} \theta$ is equal to ____________ .Answer2View full question & answer→
Question 51 MarkThe value of $\cos 1^{\circ} \cos 2^{\circ} \cos 3^{\circ} \ldots \cos 120^{\circ}$ is ____________ .Answer0View full question & answer→
Question 61 MarkThe value of $\sec ^2 60^{\circ}-\tan ^2 60^{\circ}$ is ____________ .Answer1View full question & answer→
Question 71 MarkIf $4 \tan \theta=3$, then $\frac{4 \sin -\cos \theta}{4 \sin \theta+\cos \theta}$ is equal to ____________ .Answer$1/2$View full question & answer→
Question 81 MarkGiven that $\sin (\alpha-\beta)=\frac{1}{2}$ and $\cos (\alpha+\beta)=\frac{1}{2}$, then $\alpha$ = ____________ $\beta$ = ____________ .Answer$\alpha=45^{\circ}, \beta=15^{\circ}$View full question & answer→
Question 91 MarkGiven that $\sin \alpha=\frac{1}{2}$ and $\cos \beta=\frac{1}{2}$, then $\alpha+\beta=$ ____________ .Answer$90^{\circ}$View full question & answer→
Question 101 MarkThe value of $\left(\sin 30^{\circ}+\cos 30^{\circ}\right)^2-\left(\sin 60^{\circ}-\cos 60\right)^2$ is ____________ .Answer$\sqrt{3}$View full question & answer→
Question 111 MarkThe value of $\left(\sin 45^{\circ}+\cos 45^{\circ}\right)^3$ is ____________ .Answer$2 \sqrt{2}$View full question & answer→
Question 121 MarkThe value of $\left(\sin 30^{\circ}+\cos 30^{\circ}\right)-\left(\sin 60^{\circ}+\cos 60^{\circ}\right)$ is ____________ .Answer0View full question & answer→