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When solving a trigonometric equation, like sin(x) = -1/3 for 0 ≤ x < 2π, why do I get an answer outside the range? Why are there many correct answers for the value of x?

Drawing the graphs of the trigonometric functions sin, cos &amp; tan, we can see that they all extend along the x-axis to infinity. Indeed, the sin &amp; cos functions move between 1 and -1 on the y-axis, an...
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Answered by Alexandra G. • Maths tutor
9916 Views

How do you solve a simultaneous equation by 'substitution'?

Firstly, demonstrate with an example: Solve: 3x + y = -9 and x 2 + 2x - 3 = yRearrange the first equation to get &quot;y&quot; by itself by moving parts of the equation to the other side e.g. y = - 9 - 3xSub...
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Answered by Sophie H. • Maths tutor
3366 Views

What is the length of the hypotenuse of this right angled triangle?

Pythagoras theorem can be used to calculate the length x of the triangle. The length of the hypotenuse is equal to the square root of a 2 + b 2 . When given length a and b, you are able to calculate this len...
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Answered by Callum A. • Maths tutor
4144 Views

how do you find intersections between two graphical functions?

When two lines intersect, the point of intersection will be a finite set of coordinates which can be obtained from the equation of either line. A sketch of the the functions will help you identify how many p...
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Answered by William J. • Maths tutor
3412 Views

Solve the inequality 5x^2 + x - 3 = 1

Set the equation equal to 0, which would be 5x^2 +x - 4 = 02) Split the equation into 2 brackets. To do this, one bracket will be (5x+ or - something) and the other will be (x + or - something), as the only ...
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Answered by Grace S. • Maths tutor
3653 Views