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How do you know whether to use sin, cos or tan to find the angle in a triangle?

You have to look at the where the angle is located and what sides of the triangle relative to the angle you are given. The hypotenuse is always the longest line of the triangle, the opposite is always the si...
FA
Answered by Feranmi A. • Maths tutor
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Solve the simultaneous equations: 3x + 4y = 5 , 2x - 3y = 9

To solve the equations the first step to take is to eliminate one of the variables x or y so we can get the value of it and then substitute it back in to get the value of the other. One way to do this would ...
YB
Answered by Yunis B. • Maths tutor
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Given that y =2x^3 + 3/(x^2), find a) dy/dx and b) the integral of y

a) It is useful to rewrite the equation using power rules, so we get y = 2x 3 + 3x -2 Now we can simply use the differentiation rules where we multiply the coefficient (number before x) by the power, then re...
BS
Answered by Balint S. • Maths tutor
8362 Views

Solve the simultaneous equations: 5x + y =21 and x - 3y = 9.

Rearrange x - 3y = 9 to make x the subject by adding 3y to both sides of the equation, giving x = 9 + 3y. Substitute the value of "x" in the second equation for "9 + 3y", giving: 5(9 + 3y...
RS
Answered by Rebecca S. • Maths tutor
17069 Views

ABCD is a rectangle with sides of lengths x centimetres and (x − 2) centimetres.If the area of ABCD is less than 15 cm^2 , determine the range of possible values of x.

First you interpret the given information and create an equation based on the question. x(x-2)<15. Then you express that equation in standard quadratic form: x^2-2x-15<0. Then you have to not forget th...
Answered by • Maths tutor
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