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National Law University

National Law University – All India Law Entrance Test (AILET) 2020 Exam Date Released

National Law University – All India Law Entrance Test (AILET) 2020 Exam Date Released AILET 2020 The NATIONAL LAW UNIVERSITY, DELHI established in 2008 by Act No. 1 of 2008 is premier Law University established in the capital city of India. The National Law University, Delhi will conduct “All India Law Entrance Test – 2020 Read more about National Law University – All India Law Entrance Test (AILET) 2020 Exam Date Released[…]

Maths 1

Relation f⁻¹(x) with f⁻¹(1/x) – 2

Relation f⁻¹(x) with f⁻¹(1/x) – 2 Theorem: cos⁻¹(1/x) = sec⁻¹(x), for all Proof: cos⁻¹(1/x) = sec⁻¹(x) Let sec⁻¹(x) = θ Where θ ϵ [0, π] –{0} and x = secθ 1/x = 1/ secθ 1/x = cosθ θ = cos⁻¹(1/x) sec⁻¹(x) = θ sec⁻¹(x) = cos⁻¹(1/x) cos⁻¹(1/x) = sec⁻¹(x), for all Hence proved Theorem: Proof: Read more about Relation f⁻¹(x) with f⁻¹(1/x) – 2[…]

Physics

Resistivity, Conductivity and Conductance

Resistivity, Conductivity and Conductance 1) Resistivity: Resistivity is a measure of the resistance of a given size of a specific material to electrical conduction. From, , if ,  then  i.e. resistivity is numerically equal to the resistance of a substance having unit area of cross section and unit length. i) Unit and dimension: Its SI Read more about Resistivity, Conductivity and Conductance[…]

Maths 1

Relation f⁻¹(x) with f⁻¹(1/x) – 1

Relation f⁻¹(x) with f⁻¹(1/x) – 1 Theorem: sin⁻¹(1/x) = cosec⁻¹(x), for all , Proof: sin⁻¹(1/x) = cosec⁻¹(x) Let cosec⁻¹(x) = θ , And , x = cosecθ 1/x = 1/ cosecθ 1/x = sinθ θ = sin⁻¹(1/x) cosec⁻¹(x) = θ cosec⁻¹(x) = sin⁻¹(1/x) sin⁻¹(1/x) = cosec⁻¹(x), for all , Hence proved Examples: 1.sin⁻¹(1/2) = cosec⁻¹(2) Read more about Relation f⁻¹(x) with f⁻¹(1/x) – 1[…]

BITSAT 2019

Birla Institute of Technology and Science Admission Test (BITSAT) 2020 Notification Released

Birla Institute of Technology and Science Admission Test (BITSAT) 2020 Notification Released The Birla Institute of Technology and Science (BITS) Pilani is an all India Institution declared as Deemed to be University. Admissions to all the Integrated First Degree programmes of BITS, Pilani, at Pilani campus, Goa campus, and Hyderabad Campus for the academic year Read more about Birla Institute of Technology and Science Admission Test (BITSAT) 2020 Notification Released[…]

Graph-of-Inverse-Trigonometric-Function-2

Inverse Trigonometric Functions – cosec⁻¹(cosecx)

Inverse Trigonometric Functions – cosec⁻¹(cosecx) Graph y = cosec⁻¹(cosecx): y = cosec⁻¹(cosecx) cosecy = cosecx The general solution of cosecx = cosecα is nπ + α, n ϵ z Now general solution of cosecy = cosecx is y = nπ + x, n ϵ z y = nπ + x ….(1) Equation (1) Put n Read more about Inverse Trigonometric Functions – cosec⁻¹(cosecx)[…]