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How do I solve a simultaneous equation in two variables when they have with different coefficients?

First have a look at the coefficients of each variable. You're trying to spot if the coefficient of one variable is a multiple of the coefficient of the other in the second equation. If so, you can multiply ...
RW
Answered by Ryan W. • Maths tutor
4131 Views

Find the value of (cos(x) + sec(x))^2 with respect to x when evauated between pi/4 and 0

first we have to see if this proble can be done via inspection. The power of two means that this can't be done straight away and the expression does not look like any trig identities. Expand it. through this...
EC
Answered by Eugene C. • Maths tutor
3730 Views

Integrate (sin(x))^6 - Further mathematics (De Moivre's theorem)

Recall that sin(x) = (e ix -e -ix )/(2i) and we can rewrite the integrand as {(e ix -e -ix )/(2i)} 6 Factor out {1/(2i)} 6 , which is -1/64, of the integrand (just to make algebra easier)Use binomial expansi...
AP
Answered by Akaash P. • Maths tutor
7376 Views

Solve the equation 3sin^2(x) + sin(x) + 8 = 9cos^2(x), -180<X<180. Then find smallest positive solution of 3sin^2(2O-30) + sin(2O-30) + 8 = 9cos^2(2O-30).

Cos^2(x) + sin^2(x) = 1. Therefore Cos^2(x) = 1 - sin^2(x). So equation becomes 3Sin^2(x) + sin(x) + 8 = 9(1 - sin^2(x)). Then becomes 12sin^2(x) + sin(x) - 1This is quadratic equation, solved to (4sin(x) -1...
JR
Answered by Joshua R. • Maths tutor
15495 Views

differentiate 3x^56

=(3x56)x 55
MG
Answered by Madalina G. • Maths tutor
4229 Views