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As we are looking for the horizontal displacement first we look at horizontal motion. We know that the horizontal velocity is 15ms^-1 but we dont know the time so we can't work out the horizontal displace...

d/dx(tan^2(x)) is not a known differential, and therefore requires a substitution to calculate it using simpler known differentials.

Using the identity sin^2(x) + cos^2(x) = 1, the equation can be ...

We have, from the formula book, sin⁡(A±B)=sinAcosB±cosAsinB Using A=B=θ, we have sinθ+θ=sinθcosθ+cosθsinθ Which we can simplify to sin2θ=2sinθcosθ as required. We can t...

It is an isosceles triangle. We know this because 40 + 70 = 110. So we take away 110 from 180 (The sum of the three degrees in a triange) to give us the degree of the last angle, which is 70. Since we hav...

When evaluating more complex exponentials it is helpful to break them up into smaller steps. so when we are aproched with (1/3)^-3/2 we should first look at the effect that the negative sighn ha...