List of top Mathematics Questions

Prove that  \(cot^2 \frac{π}{6}+cosec \frac{5π}{6}+3\,tan^2 \frac{π}{6}=6\)
Find the multiplicative inverse of the complex number \( 4 - 3i\)
Find the value of the trigonometric function \(sin (-\frac{11π}{3}).\)
Write the first five terms of each of the sequences in Exercises 1 to 6 whose nth terms are: an = 2n.
Express the given complex number in the form\( a + ib: (-2-\dfrac{1}{3}i)^3\)
Write the first five terms of each of the sequences in Exercises 1 to 6 whose nth terms are: an = \(\frac {n}{n} + 1\)
Find the value of the trigonometric function cot \((-\frac{15π}{4})\)
Express the given complex number in the form \(a + ib: i^{9} + i^{19}\)
Write the first five terms of each of the sequences in Exercises 1 to 6 whose nth terms are: an = n (n + 2).
Express the given complex number in the form \(a + ib: (\dfrac{1}{3}+3i)^3\)
Express the given complex number in the form \(a + ib: (1 - i)^{4}\)
Find the value of the trigonometric function cosec (-1410°)
Express the given complex number in the form \(a + ib: [(\dfrac{1}{3}+i\dfrac{7}{3})+(4+i\dfrac{1}{3})]-(-\dfrac{4}{3}+i)\)
Find the value of the trigonometric function sin 765°

Find the values of other five trigonometric functions if  \(tan\, x=-\frac{5}{12}\), x lies in second quadrant.

Express the given complex number in the form \(a + ib: (\dfrac{1}{5}+i\dfrac{2}{5})-(4+i\dfrac{5}{2})\)

 

 

Find the values of other five trigonometric functions if  \(sec\, x=\frac{13}{5}\), x lies in fourth quadrant.

Find the values of other five trigonometric functions if  \(cot\,x=\frac{3}{4},\) x lies in third quadrant

Express the given complex number in the form \(a + ib: 3(7 + i7) + i(7 + i7)\)
Find the values of other five trigonometric functions if  \(sin\,x=-\frac{3}{5},\) x lies in second quadrant.
Express the given complex number in the form \(a + ib: i^{-39}\)
Express the given complex number in the form \(a + ib : (5i)(-\dfrac{3}{5i})\)

Find the angle in radian though which a pendulum swings if its length is 75 cm and the tip describes an arc of length 

(i) 10 cm (ii) 15 cm (iii) 21 cm

If in two circles, arcs of the same length subtend angles 60° and 75° at the centre, find the ratio of their radii.
In a circle of diameter 40 cm, the length of a chord is 20 cm. Find the length of minor arc of the chord.