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\(\triangle ABC\) is right angled at \(A\). If \(AC=8\ cm\) and \(AB=6\ cm\), what is the value of \(\mathrm{cosec} B\) ?
\(\triangle ABC\) is right angled at \(A\). If \(BC=\sqrt{2} \text{ and } AB=6\ cm,\) what is the measure of \(\angle B\) ?
Whta is the value of \(\theta\) for which \(\tan \theta=\cos \theta\) ?
What is the value of \(\sin^2 5^{\circ}+\sin^2 10^{\circ}+sin^2 80^{\circ}+\sin^2 85^{\circ}\) ?
If \(\tan x=\sin 45^{\circ}\cdot\cos 45^{\circ}+\sin{30^{\circ}}\), find the value \(x\).
Given \(\sin \theta+\dfrac{1}{\sin \theta}=4\), what is the value of \(\sin^2\theta+\dfrac{1}{\sin^2\theta}\) ?
Whta is the value of \(\tan 7^{\circ}\cdot\tan 23^{\circ}\cdot\tan 60^{\circ}\cdot\tan 67^{\circ}\cdot\tan 83^{\circ}\) ,
In \(\triangle ABC, AB=AC=10\ cm \text{ and } BC=10\sqrt{3}\ cm\). Find \(\angle BAC\).
Given \(\tan \theta=\dfrac{7}{24}\), what is the value of \(\sin \theta+\cos \theta\) ?
What is the value of \(\theta \ if \ \sqrt{3}\tan{2\theta}3=0\) ?
What is the value of \(\sin 0^{\circ}+\cos 30^{\circ}\tan 45^{\circ}+\mathrm{cosec}\ 60^{\circ}+\cot 90^{\circ}\) ?
Find the value of \(\sqrt{\dfrac{1\cos A}{1+\cos A}}\)
Find the value of \(\dfrac{5\cos {a} 4}{35\sin a}\dfrac{3+5\sin a}{4+5\cos a}\)
If \(x=3\cos A\cdot\cos B,\ y=3\cos A\cdot\sin B \text{ and } z=3\sin A\), find the value of \(x^2+y^2+z^2\).
Find the value of \( \cos 1^{\circ} \cos 2^{\circ} \cos 3^{\circ} \cdots\cos 89^{\circ} \cos 90^{\circ}\)
Given \(\sin\theta+\cos\theta=\sqrt{3}\), what is the value of \(\tan\theta+\cot\theta\) ?
If \(\dfrac{\tan 26^{\circ}+\tan 19^{\circ}}{x(1\tan 26^{\circ}\cdot\tan 19^{\circ})}=\cos 90^{\circ}\), what is the value of \(x\) ?
What is the angle between the hour and minute hans of a clock at \(02:15\) hours ?
If \(\tan \theta+\sec \theta=2,\ 0^{\circ}\leq\theta<90^{\circ}\), find the value of \(\tan\theta\) ?
If \(4\sin\theta=3\cos\theta\), find \(\dfrac{\sec^2\theta}{4(1\tan^2\theta)}\).