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What is the integral of sin^2(x)?

From the double angle formula for cosine, we know that cos(2x)=cos 2 (x)-sin 2 (x). Also, we know that sin 2 (x)+cos 2 (x)=1. So by substituting the second formula into the first, we can say that cos(2x)=(1-...
JB
Answered by Jonathan B. • Maths tutor
6822 Views

How will you simplify (3 xsquare root of 2) to the square?

(3* square root of 2) square= (3* square root of 2) * (3* square root of 2) now lets remove the brackets remember to multiply the number outside the square root; so gives us 3 3 =9 and then multiplythe numbe...
HW
Answered by Heyrumb W. • Maths tutor
7202 Views

Find the stationary point of y=3x^2-12x+29 and classify it as a maximum/minimum

The stationary point of a curve is where it changes direction, that is the gradient goes from positive to negative or vice versa. At the exact point of the change, the gradient of the curve will be exactly 0...
JS
Answered by James S. • Maths tutor
8260 Views

How do I integrate sin^2(x)?

First, remember the compound angle formula for cosine: cos (2x) =cos^ 2 (x)-sin^ 2 (x). Now use the identity sin^ 2 (x)+cos^ 2 (x)= 1 to give : cos (2x) =(1-sin^ 2 (x))-sin^ 2 (x)=1 -2sin^ 2 (x) Rearranging ...
CD
Answered by Christopher D. • Maths tutor
6358 Views

What is the sum of the first n terms of a geometric sequence and where does it come from?

p { margin-bottom: 0.25cm; line-height: 120%; } Recall that a geometric progression is a sequence (a_n) defined as follows a_1 = a a_n = a * r^(n - 1) for all integers n > 1 where a and r are some fixed n...
KN
Answered by Kamil N. • Maths tutor
5572 Views