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Prove the identity (sin2x)/(1+(tanx)^2) = 2sinx(cosx)^3

For a proof like this, I like to start with the more difficult-looking side, and aim to end up with the expression on the other side. Starting with the left hand side, the first thing to change is the sin2x,...
AC
Answered by Alice C. • Maths tutor
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Solve for x in the following equation: e^x + 10e^(-x) = 7

First of all, we bring the 7 to the left side of the equation to get: e x -7+10e -x =0. Then, by multiplying both sides of the equation by e x , we can get an equation in the form of a quadratic equation: e ...
LB
Answered by Leonardo B. • Maths tutor
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The line l1 has equation 4y - 3x = 10. Line l2 passes through points (5, -1) and (-1, 8). Determine whether the lines l1 and l2 are parallel, perpendicular or neither.

To determine the answer the gradient of both lines must be found. To find the gradient of line l1 the equation can be rewritten in the form y = mx + c. 4y - 3x = 10 so y = 3/4 x + 5/2. From this equation the...
RM
Answered by Rosie M. • Maths tutor
16177 Views

Solve the simultaneous equations, 2x-3y=14 and 3x+4y=4

When asked to solve we have to find the value of x and the value of y , as they are simultaneous equations we know the value of y in equation 1 and equation 2 are the same and this is also the same for when ...
SB
Answered by Shireen B. • Maths tutor
5556 Views

Evaluate the integral of cos(x)sin(x)(1+ sin(x))^3 with respect to x.

Substitution of 'u=1+sin(x)' is required.Differentiating this with respect to x gives cos(x)... therefore du=1/cos(x) dxmultiplying that through leaves the integral of sin(x)(1+sin(x))^3 which therefore can ...
Answered by • Maths tutor
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