Trigonometry

The word 'Trigonometry' has been derived from Greek words meaning measurement of —

Plane Trigonometry is concerned with —

Two mutually perpendicular lines $XOX'$ and $YOY'$ in the plane $XY$ divide the plane into how many quadrants?

In trigonometry, an angle is produced by —

In plane geometry, the maximum angle that is taken into account is —

In trigonometry, an angle greater than four right angles is —

The angle $\angle XOX$ created by the original position of the revolving ray is considered in trigonometry as —

An angle produced by anti-clockwise revolving is —

An angle produced by clockwise revolving is —

A positive angle whose value lies between $90°$ and $180°$ lies in —

The angle $430°$ lies in which quadrant?

The angle $545°$ lies in which quadrant?

The angle $-520°$ lies in which quadrant?

The angle $-750°$ lies in which quadrant?

A negative angle in the range $-270°$ to $-180°$ lies in —

The angle $330°$ lies in which quadrant?

A negative angle from $-90°$ to $0°$ remains in —

In sexagesimal system, the unit of measurement of angle is —

One degree equals —

$60''$ (seconds) equals —

$90°$ equals —

The angle subtended at the centre of a circle by an arc whose length is equal to the radius is called —

In circular system, the unit of angle is —

In any circle, the ratio of the circumference to the diameter is —

The constant ratio of the circumference of a circle to its diameter is denoted by —

The approximate value of $\pi$ used up to four decimal places is —

The circumference of a circle of radius $r$ is —

The angle subtended at the centre of a circle by an arc is proportional to —

One radian, expressed as a fraction of a right angle, equals —

Radian is —

$\pi$ radian equals —

$\dfrac{\pi}{2}$ radian equals —

$30°$ in radian measure is —

$45°$ in radian measure is —

$60°$ in radian measure is —

$360°$ in radian measure is —

To convert a degree measure to radian, multiply by —

To convert a radian measure to degree, multiply by —

If $D°$ and $R^{c}$ denote the same angle in sexagesimal and circular systems, then —

$1°$ in radians is approximately —

$1$ radian in degrees is approximately —

The radian symbol $(c)$ in practical writing is —

$30°12'36''$ expressed in radians (nearly) is —

$\dfrac{3\pi}{8}$ radian expressed in degrees is —

The angles of a triangle are in the ratio $3:4:5$. Their circular measures are —

A giant wheel makes $40$ revolutions to cover $1.75$ km. The radius of the wheel (nearly) is —

The radius of the earth is $6440$ km. An arc joining Dhaka with Jamalpur subtends an angle of $2°$ at the centre. The distance is approximately —

The circular measure of the angle subtended by an arc of length $11$ cm at the centre of a circle of radius $7$ cm is approximately —

A circular path has diameter $180$ m. An arc subtends an angle of $28°$ at its centre. The arc length is approximately —

If $s$ is arc length, $r$ is radius and $\theta$ the central angle in radians, then —

A hill subtends an angle of $7'$ at a point $540$ km from its foot. The height of the hill is approximately —

$75°30'$ expressed in radians is approximately —

$\dfrac{\pi}{6}$ radian in degrees equals —

$1.3177$ radian expressed in sexagesimal form is approximately —

The radius of a wheel is $2$ m $3$ cm. Its circumference (correct to four decimal places) is —

The wheel of a car has diameter $0.84$ m and makes $6$ revolutions per second. The speed of the car is approximately —

The angles of a triangle are in the ratio $2:5:3$. The radian measures of the smallest and the largest angles are —

The angles of a triangle are in arithmetical progression with the largest angle twice the smallest. The radian measures are —

The earth's radius is $6440$ km. The arc joining Dhaka with Chittagong subtends $5°$ at the centre. The distance is approximately —

A bicycle traverses a circular arc in $11$ s. Diameter is $201$ m, central angle $30°$. The speed is approximately —

With earth radius $6440$ km, two places subtending $32''$ at the centre are approximately how far apart?

The angle between the minute hand and the hour hand of a clock at $9{:}30$ is —

A jogger runs at $6$ km/h on a circular track. He traverses an arc of central angle $60°$ in $36$ s. The diameter of the track is approximately —

A hill subtends an angle of $8'$ at a point $750$ km away. Its height is approximately —

In a right-angled triangle with acute angle $\theta$, $\sin\theta$ equals —

$\cos\theta$ equals —

$\tan\theta$ equals —

$\sec\theta$ equals —

$\operatorname{cosec}\theta$ equals —

$\cot\theta$ equals —

Trigonometric ratios are —

If $\tan\theta = 3$ in a right-angled triangle, then $\sin\theta$ equals —

If $\tan\theta = 3$, then $\sec\theta$ equals —

For a point $P(x,y)$ on the terminal side of angle $\theta$ in standard position with $r=\sqrt{x^{2}+y^{2}}$, $\sin\theta$ is —

$\cos\theta$ in coordinates equals —

$\tan\theta$ in coordinates equals —

The values of trigonometric ratios depend on —

$\sin 0°$ equals —

$\cos 90°$ equals —

$\sin 90°$ equals —

$\sin^{2}\theta + \cos^{2}\theta$ equals —

$1 + \tan^{2}\theta$ equals —

$1 + \cot^{2}\theta$ equals —

$\operatorname{cosec}\theta$ equals —

$\sec\theta$ equals —

$\cot\theta$ equals —

$\sec^{2}\theta - \tan^{2}\theta$ equals —

$\operatorname{cosec}^{2}\theta - \cot^{2}\theta$ equals —

In the first quadrant, all trigonometric ratios are —

In the second quadrant, the positive ratios are —

In the third quadrant, the positive ratios are —

In the fourth quadrant, the positive ratios are —

The maximum possible value of $|\sin\theta|$ is —

The maximum possible value of $|\cos\theta|$ is —

On the $x$-axis, the trigonometric ratios that are not defined are —

On the $y$-axis, the trigonometric ratios that are not defined are —

$\sin\dfrac{\pi}{6}$ equals —

$\cos\dfrac{\pi}{4}$ equals —

$\tan\dfrac{\pi}{3}$ equals —

$\cos\dfrac{\pi}{3}$ equals —

$\sin\dfrac{\pi}{2}$ equals —

$\tan\dfrac{\pi}{2}$ is —

$\sin\dfrac{\pi}{3}$ equals —

$\tan\dfrac{\pi}{4}$ equals —

$\cot\dfrac{\pi}{6}$ equals —

If $\cos\theta = \dfrac{4}{5}$ with $\theta$ acute, then $\sin\theta$ equals —

If $\cos\theta = \dfrac{4}{5}$ (acute), then $\tan\theta$ equals —

If $\cos A = \dfrac{4}{5}$ and $\sin B = \dfrac{12}{13}$ ($A,B$ acute), the value of $\dfrac{\tan B - \tan A}{1 + \tan B\tan A}$ is —

$\sin^{2}\dfrac{\pi}{6} + \cos^{2}\dfrac{\pi}{4} + \tan^{2}\dfrac{\pi}{3} + \cot^{2}\dfrac{\pi}{2}$ equals —

If $7\sin^{2}\theta + 3\cos^{2}\theta = 4$, then $\tan\theta$ equals —

$3\tan^{2}\dfrac{\pi}{3} - \sin^{2}\dfrac{\pi}{2} - \dfrac{1}{3}\cot^{2}\dfrac{\pi}{6} + \dfrac{1}{8}\sec^{2}\dfrac{\pi}{4}$ equals —

If $\sin A = \dfrac{2}{\sqrt{5}}$ and $\dfrac{\pi}{2} < A < \pi$, then $\cos A$ equals —