The inverse trigonometric function are represented by adding arc in prefix for a trigonometric function, or by adding the power of -1, such as:... View Article
We need to find an expression for cos3x in terms of cos x cos 3x can be written as cos3x=cos(2x+x)-----(i) We know the trignometric identity... View Article
We have to find the values of cos 150∘ and sin 150∘ We know that 150 =180−30 We know that cos (180 - θ)= - cosθ cos 150 = cos (180-30) =... View Article
In the STP system, both pressure and temperature are in their typical form. Pressure and temperature of this system are considered as 760 torr... View Article
Solution We know that (1−cosx) = 2sin2(x/2) sinx = 2 sin (x/2) cos (x/2) 1-cos x / sinx = 2sin2(x/2) / 2 sin (x/2) cos (x/2) On simplyfing... View Article
We need to find the antiderivative of 1/x2 The given function is 1/x2 It can also be expressed as x-2 To find the antiderivative of the given... View Article
We need to simplify 1/sin x. Before simplifying first let us know what sine is. The sine function can be defined as the ratio of the length of... View Article
We need to prove that the integral of 1/(1+x2) is arc tanx Let us assume that I= Substitute x= tan u dx=sec2uduu = arctan x----------(i) So... View Article
Answer: We need to find the derivative of 1/x The given function is 1/x It can also be expressed as x-1 To find the derivative of the given... View Article
Economy is an important part of the UPSC prelims and mains exams; this series titled ‘Economy This Week’ has been initiated to address the need... View Article
Pradhan Mantri Matsya Sampada Yojana (PMMSY) was launched on 10th September 2020. The aim of the scheme is to bring about Blue Revolution through... View Article
UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 19th November 2020. Important news and views to... View Article
19 Nov 2020 CNA:- Download PDF Here TABLE OF CONTENTS A. GS 1 Related B. GS 2 Related POLITY AND GOVERNANCE 1. Questionnaire of NPR being... View Article
