We have to determine the value of sin 22.5 Let us assume θ = 22.5 º From the identity sin2θ =  [(1− cos 2θ) / 2] -------(1) From the above... View Article
We have to determine the value of sin 50 sin 50 can be expressed as sin50∘=sin(30∘+20∘) From the identity  sin(A+B)=sinAcosB+cosAsinB we... View Article
Answer: By using uv formula, consider the rule of ILATE we get u = 1/x and dv = sinx formula is ∫udv = uv- ∫vdu here we get u = 1/x du =... View Article
An ellipse is the locus of all those points in a plane such that the sum of their distances from two fixed points in the plane, is constant. The... View Article
We have to prove the given equation 1/(cosecA-cotA) - 1/sinA = 1/sinA - 1/(cosecA+cotA). Let us solve the LHS first 1/(cosecA-cotA) - 1/sinA... View Article
Given a2+b2+c2=ab+bc+ca Find out We have to determine the value of (c+a)/b Solution a2+b2+c2=ab+bc+ca a2+b2+c2-ab+bc+ca= 0 On multiplying... View Article
There are different ways to solve it. We know that the cos 120 can be expressed as cos (90+30) cos (120) = cos(90+30) cos(90+x) = -sin(x) So... View Article
i) Cosec2A - Cot2A = TanA Consider the LHS of the given equation = cosec2A - cot2A We will express cosec and cot in terms of sin and cos We... View Article
tan(45°+ A) - tan(45°- A)/ tan(45°+ A) + tan(45°- A) = 1/sin2A Let us solve the LHS of the given equation LHS = tan (45°+ A) - tan(45°- A) /... View Article
I = [log (x+1) -log (x)]/[x (x+1)] dx We have to determine the integral of log(x+1)-logx dx/x(x+1) Let us assume [log (x+1) -log (x)] = t 》... View Article
We have sin(4x) sin(4x) can be expressed as =sin(2x+2x) Let's apply the angle sum identity for sin(x); sin(α+β)=sin(α)cos(β)+cos(α)sin(β):... View Article
We have to prove sin 20 × sin40 × sin60 × sin80 = 3/16. Consider LHS sin 20 × sin 40 × sin60 × sin80 Sin Values In trigonometry, the sine... View Article
Given The given condition is a2 + b2 +c2-ab-bc-ca=0 To Prove We have to prove that a=b=c Solution a² + b² + c² = ab + bc + ca (Given) On... View Article
CNA 3rd March 2020:- Download PDF Here TABLE OF CONTENTS A. GS 1 Related B. GS 2 Related INTERNATIONAL RELATIONS 1. India monitoring impact of... View Article
Double ordinate can be described as any chord of the parabola that is perpendicular to the axis and passing through any point on the parabola is... View Article
Read the daily PIB update and stay up-to-date on current affairs for the UPSC exam. March 2nd, 2020 PIB:- Download PDF Here TABLE OF CONTENTS... View Article
