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Find The Square Root Of 225

Square root of a number is the value that returns the original number on multiplied by itself. Finding square root by prime factorisation is an... View Article

Prove Sin 1 X Cos 1 X Pi 2

We have to prove sin−1(x) + cos−1(x) = (π/2) Let us start with LHS Let sin−1(x) = y, i.e., x = sin y = cos((π/2)... View Article

Find The Antiderivative Of Cosx Sin 2x

We have to find the antiderivative of cos x / sin2x To find ∫cos x / sin2x we will express the given function in terms f sin and cos We... View Article

How Do You Find The Exact Value Of Tan 1 0

We need to find the value of tan^-1(0) tan-1(0) tan -1 (0) We know that tan -1 (0) = tan -1 (tan 0) = 0 Answer tan-1(1)= 0... View Article

Write The General Expression Of Eulers Formula

We have to find an expression for sin(x)in terms of eix and eix Euler’s formula establishes the fundamental relationship between the... View Article

Evaluate The Square Root Of 5

We have to find the square root of 0.5 To find the square root of 0.5 first we will express it in the form of fraction We know that 0.5 =... View Article

What Is Sin X Times Sin X

We have to evelaute sin x times sin x sin x times sin x (sin x) (sin x)= sin2x From the trigonometric identity sin2x + cos2x = 1 sin2x =... View Article

Evaluate Sin 2pi 3

We have to evaluate the value of sin 2∏/3 sin 2∏/3 can be expressed as sin (∏ - 2∏/3) = sin (3∏-2∏ / 3) = sin ∏/3 = sin 60 We have learnt... View Article

Solve Log 3 4x 5 5

We have to evaluate log3 (4x-5)=5 Convert the equation to exponential form We know that logay=x ax= y Similarly log3 (4x-5)=5 35=... View Article

What Is The Derivative Of Y Sec 2 X

We have to find the derivative of sec2x Let y =sec2x We will differentiate the given equation using y =sec2x The Chain Rule is a formula for... View Article

Find The Value Of Cos 210

We have to find the value of cos 210 Cos 210 can be found out using cos 180 degrees cos 210 can be expressed as cos 210= cos (180 + 30) We... View Article

Prove Tan 3theta 3tantheta Tan 3theta 1 3tan 2theta

We have to prove Let us start from LHS tan 3x We know that So tan (3x) can be considered as tan (x + 2x) [latex]\tan (x + 2x) =... View Article

Give The Maclaurian Series For Sin X

A Maclaurin series is a function that has expansion series that gives the sum of derivatives of that function. The Maclaurin series of a function... View Article

Write A Short Note On Period Of A Tan Function

The time interval between two waves is known as a Period whereas a function that repeats its values at regular intervals or periods is known as a... View Article

How Do You Evaluate The Integral Int X 1 X 1 Dx

We have to integrate We will split the integrand function Using the linearity of the integral These are standard integrals... View Article

If Sin A 1 3 Find The Value Of Tan A

We have, sin A = 1/3 ……..….. (1) As we know, by sin definition; sin A = Perpendicular/ Hypotenuse = 1/3 ….(2) By... View Article

Simplify The Expression 1 Sin 2x

We have to simplify the expression 1- sin2x 1- sin2x We know the trigonometric identity sin2x + cos2x = 1 On rearranging the terms in the above... View Article

Why Isnt 57 A Prime Number

A prime number is a positive integer having exactly two factors. If p is a prime, then it’s only factors are necessarily 1 and p itself.... View Article

Evaluate The Value Of Cot 90 Degrees

We need to find the value of cot 90 As per the trigonometric unit circle, cot (90) = 0 Now will find out using the terms cos and sin We... View Article

Evaluate The Integral Of Cotx 5 Cscx 2

We have to find the integral of Let us now substitute cot x = t If we differentiate both sides with respect to t we get, Then we get,... View Article

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