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a) show that (cosx)^2=8(sinx)^2-6sinx can be written as (3sinx-1)^2=2 b)Solve (cosx)^2=8(sinx)^2-6sinx

Start with a). Looking at this equation, the trig identity screaming out is cosx^2+sinx^2=1--> cosx^2=1-sinx^2. Substituting this into the LHS of the equation, and with a bit of algebraic rearrangement...

Answered by Ben W. • Maths tutor

23467 Views

Solve the following simultaneous equations. x^2+y^2=25. y-3x=13

The key to solving simultaneous equations is trying to reduce them into one equation. You can see that one of these equations is quadratic, so you should be thinking there will be 2 answers for x and y. Y...

Answered by Ben W. • Maths tutor

4978 Views

Solve these two simultaneous equations.

eq.1 4x+3y=7eq.2 3x+7y=16
You want to eliminate one of the variables (either x or y) reducing the problem to just one equation with one variable which can be solved. This can be done by multiplying e...

Answered by Tobias H. • Maths tutor

4302 Views

Integrate xsin(2x) by dx between the limits 0 and pi/2.

First it is important to identify that this is an integration by parts question as it can't be solved by substitution.
Let I = integral for ease of notation.Write out integration by parts formula I(...

Answered by Benedict A. • Maths tutor

7132 Views

Integrate 3t^2 + 7t with respect to t, between 1 and three.

To integrate you add one to the power and divide by the new power, so this becomes:3t³/3 + 7t²/2 simplifying to t³+ 7/2 t²If we were just performing indefinite...

Answered by Josh M. • Maths tutor

3289 Views