Recently Active Trignometry Questions

let ABC be a triangle with P a point inside it such that <PAB=Ï€/18 <PBA=Ï€/9 <PCA=Ï€/6, <PAC=2Ï€/9 Q.<PBC=? (a)Ï€/9 (b)2Ï€/9 (c)Ï€/3 (d)none Q.Triangle ABC is___________ a)equilateral b)isosceles c)rt. angled ...

easy..... if 0<θ<π then 2+ 2+ 2+....... 2+2cosθ is equal to?????????? if there are n number of √ signs ...

i find it hard to these questions........... so plz help 1) (2cos40 -cos20)/sin20 2) tan10-tan50+tan70 ...

sin x + cos x = 1/2 x ε 0, π find tan x ...

In ΔABC , E and F are pts on AC and AB . Lines BE and CF intersect at P area of BPF = 5 PFAE=22 CPE=8 wats area of BPC options 22 16 10 not uniquely decidable ...

Just wanted to give u guys the formulas in properties of triangles. First of course is a diagram, which indicates all the parameters of a triangle I made it with paint...so pls forgive me if it is untidy *Image* ...

find the value of \sqrt{3}(sec55+cosec55) + sec55 - cosec55 surprisingly ,the answer consists of only 1 term(irrational) ...

Let l,m,n be three consecutive natural numbers (l>m>n).If the angle A of \Delta ABC be given by sinA= \frac{\left(a^{2}+b^{2}+c^{2} \right)\left(l^{2}+m^{2}+n^{2} \right)}\left(al+bm+cn)^{2} and the perimeter of the tri ...

solve one by one. not randomly... please. 1]the total 8 digit numbers of the form x_{1}x_{2}x_{3}x_{4}x_{5}x_{6}x_{7}x_{8} such that x5 is the greatest digit and digits towards the left and right of x5 are in decreasing order ...

For each natural number K, let Ck denote the circle with radius k centimeters and centre at the origin. On the circle Ck , a particle moves k centimeters in the counter clockwise direction. After completing its motion on Ck, ...

1)The minute hand of a clock is 10 cm long...How far does the tip of the hand move in 20 minutes? 2)THe no. of sides in 2 regular polygans are 5:4 and the difference between their angles is 6 degrees, find the no. of sides in ...

Two sides of a triangle are of lengths 2a and 2b and contain an angle of 120°. If the angle opposite the side 2a is θ, tan θ is equal to (a) a 2 /a + 2b (b) a 3 /2a + b (c b 3 /a + 2b (d) b 3 /2a + b ...

Sides a,b,c of a triangle ABC are in AP \cos(\theta_1)=\frac{a}{b+c} , \cos(\theta_2)=\frac{b}{a+c} and \cos(\theta_3)=\frac{c}{a+b} Then \tan^2\left(\frac{\theta_1}{2} \right)+\tan^2\left(\frac{\theta_3}{2} \right) =? ...

sinA sinB sin C + cos A cos B=1 then the value of sin C=? ...

Internal bisector of <A of a triangle ABC meets side BC at D. A line drawn through D perpendiuclar to AD intersects the side AC at E and the side AB at F. If a,b,c represent sides of ABC then A) AE is HM Of b and c B) AD=2 ...

Given an isosceles triangle whose one angle is 120 degree and radius of its incircle is 3 . Then the area of the triangle in square units is: ...

Product of all solutions of the equatrion : tan-1(2x/(x2-1)) + cot-1((x2-1)/2x) = 2pi/3 Ans = 1 ...

Sum of roots of sin^{-1}\frac{ax}{c}+sin^{-1}\frac{bx}{c}=sin^{-1}x is ????? ...

Prove \sum_{x,y,x}^{}{\sin x \sin y \sin(x-y)+\sin(x-y)\sin(y-z)\sin(z-x)} = 0 JEE 1978 ...

sin4x+4cos2x - 4sin2x+cos4x = cos2x *mistake in typing.. corrected! ...

Evaluate: \sin \left(\frac{\pi}{14} \right)\sin \left(\frac{3\pi}{14} \right)\sin \left(\frac{5\pi}{14} \right)\sin \left(\frac{7\pi}{14} \right)\sin \left(\frac{9\pi}{14} \right)\sin \left(\frac{13\pi}{14} \right) .sin(11pi/ ...

determine the smallest positive value of x in degrees fro which tan(x+100) = tan(x+50)tanx tan (x-50) all angles in degrees! ...

Prove that a triangle ABC is equlateral if and only if tan A+tan B + tan C = 3 3 ...

Evaluate 3(\sin x- \cos x)^4 + 6(\sin x + \cos x)^2+ 4 \sin^6x+4 \cos^6x IIT JEE 1975 ...

Prove \frac{sin 2A+sin 2B+ sin 2C}{Cos A + Cos B + Cos C-1}=8cos\frac{A}{2}cos\frac{B}{2}cos\frac{C}{2} This is from IIT JEE 1977 ...

Maximum value of \cos(\alpha_1)\cos(\alpha_2)...\cos(\alpha_n) under the restrictions 0\leq \alpha_1, \alpha_2, .....\alpha_n \leq \pi/2 and cot(\alpha_1)cot(\alpha_2) .....cot(\alpha_n) = 1 is? ...

Sides of a triangle are in ratio 1: 3 :2 angles are in ratio? ...

A+B+C= π prove that \cot(A/2)+\cot(B/2)+\cot(B/2)=\cot(A/2)\cot(B/2)\cot(C/2) ...

Another IIT JEE question inspired! f(x) = sin2x + sin2(x+pi/3) + cos x cos (x+pi/3) find f(2) ...

Prove: cot A - tan A = 2 cot 2A Hence prove tan A+2tan2A+4tan4A+8 Cot 8A =Cot A ...