Value of $ \displaystyle \sin 45^{\circ} \cos 45 \left ( \tan 45^{\circ}+\cot 45^{\circ} \right )^{2}   $  is 

Two angles are called adjacent if

In a cyclic quadrilateral ABCD, $\displaystyle \angle ABC=60^{\circ}$ and if O be the centre of the circle then the measure of $\displaystyle \angle OAC$ is

Triangle measurement is called as _______.

In the early 9th century AD, _________ produced accurate sine and cosine tables, and the first table of tangents.

Who is the founder of trigonometry?

The history of trigonometry goes back to the earliest recorded mathematics in Egypt and _____.

Trigonometry is used mainly due to the purpose of time keeping and _____.

The first recorded use of trigonometry came from the Hellenistic mathematician ________________.

Trigonometry is a branch of mathematics that studies relationships involving lengths and ______ of triangles.

The term trigonometry was first invented by the German mathematician ______.

______ mathematicians created the trigonometry system based on the sine function instead of the chords.

Who published the trigonometry in 1595?

In $\Delta ABC$ if $a=8,b=9,c=10$, then the value of $\dfrac{{\tan C}}{{\sin B}}$ is

If $\sin \theta + \cos \theta = 1$, then what is the value of $\sin \theta \cos \theta$?

If $t _1=(\tan x)^{\cot x}, t _2=(\cot x)^{\cot x}, t _3=(\tan x)^{\tan x}, t _4=(\cot x)^{\tan x}, 0 < x < \dfrac{\pi}{4}$, then:

The angle of elevation and angle of depression both are measured with

For a
positive integer n,
let
${f _n}\left( \theta  \right) = \left( {\tan \frac{\theta }{2}} \right)\left( {1 + \sec \theta } \right)\left( {1 + \sec 2\theta } \right)\left( {1 + \sec {2^2}\theta } \right)...\left( {1 + \sec {2^n}\theta } \right),then$

$8\sin { \theta  } \cos { \theta  } .\cos { 2\theta  } \cos { 4\theta  } =\sin { x } \Longrightarrow x=$?

If $11 \sin^2 x + 7\cos^2x = 8$ then $x =$______

If $\alpha, \beta$ are solution of equation a $cos \theta + b sin\theta = c$ then

If $\cos x + cosy + \cos \theta = 0$ and $\sin x + \sin y + \sin \theta = 0$, then $\cot\left(\dfrac{x + y}{2}\right)$ 

If $sin:\theta +cos:\theta =p$ and $:tan:\theta +cot:\theta =q$ then $:q\left(p^2-1\right)=$

If $\tan { \theta  } .\tan { (120-\theta ) } .\tan { (120+\theta ) } =\dfrac { 1 }{ \sqrt { 3 }  }$, then $\theta $

In a $\triangle ABC$, if $a=26, b=30, \cos C=\dfrac{63}{65}$ then $c=$

If $f ( x ) = \sin x - \dfrac { x } { 2 }$ is increasing function, then

In a $\Delta$ABC, $\dfrac{s}{r _1}+\dfrac{s}{r _2}+\dfrac{s}{r _3}-\dfrac{s}{r}$ (where all the symbols have the usual meanings ) is equal to?

In $\Delta ABC$, a, b, c are the lengths of its sides and A, B, C are the angles of triangle ABC. The correct relation is 

Find the product of $\cos{30}^{0}.\cos{45}^{0}.\cos{60}^{0}$

In the 5th century who created the table of chords with increasing 1 degree?

The points of discontinuity of $\tan{x}$ are

What is the meaning of trigonometry in Greek language?

Find the name of the person who first produce a table for solving a triangle's length and angles.

What is the value of $\sqrt {2}\sec 45^{\circ} - \tan 30^{\circ}$?

In triangle $XYZ$, $XZ=YZ$. If the measure of angle $Z$ has ${a}^{o}$, how many degrees are there in the measure of angle $X$?

If $\tan A = \dfrac {1 - \cos B}{\sin B}$, then the value of $\dfrac {2\tan A}{1 - \tan^{2}A}$ is

The value of sin $15^0$ is

Find number of solutions to the equation:$[ \sin x + \cos x ] = 3 + [ - \sin x ] + [ - \cos x ]$

if $\displaystyle Sin\theta =\frac{3}{5}$ what is the value of $\displaystyle  \left ( \tan \theta +\sec \theta  \right )^{2}$?

The side opposite to the right angle in a right angled triangle is called

The area of the semicircle drawn on the hypotenuse of a right angled triangle is equal to the difference of the areas of the semicircles drawn on the other two sides of the triangles.

If $E. \ tan(x -
30^{\circ}) = j. \ tan(x+120^{\circ})$, then $\frac{E + J}{E-J} =$

A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height 5 meters. At point on the plane, the angle of elevation of the bottom and top of the flag staff are respectively 30$^{\circ}$ and 60$^{\circ}$. The height of tower is

If the angle of elevation of a cloud from a point 200 meter above a lake is $\displaystyle 30^{\circ}$ and the angle of depression of its reflection in the lake is $\displaystyle 60^{\circ}$ then the height of the cloud (in meters )above the lake is 

If the distance between a 13-foot ladder and a vertical wall is $5$ feet along the ground, how high can a person climb if the ladder is inclined against wall?

If $sin\theta = 3sin(\theta +2\alpha)$, then the value of $tan(\theta+\alpha)+ 2tan\alpha$ is