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Solve the equation cosec^2(x) = 1 + 2cot(x), for -180° < x ≤ 180°.

First, we want to convert the equation to a simpler form involving just one function of x. Squared trigonometric functions are normally good candidates for simplification, thanks to the trigonometric identit...
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Answered by Max H. • Maths tutor
11406 Views

Integrate cos(x)sin^2(x)

Answer: sin^3(x)/3 + c The student can either solve by inspection by noticing that the derivative of sin^3(x)=3sin^2(x)cos(x). OR The student can use the longer method of integration by parts.
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Answered by Milan S. • Maths tutor
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2(x+4)=x+10

When solving equations like this, the most important thing to remember is that you must do the same thing to both sides. First multiply out the brackets, multiplying the x and the 4 by 2, giving 2x+8=x+10. W...
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Answered by Mimi H. • Maths tutor
3774 Views

Solve 4(x+3)=2x+8

First explain that to 'solve' means to find the value for 'x'. Then, using the rule of BIDMAS, explain that in order to simplify the process, the first step is to open up the brackets on the left hand side o...
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Answered by Wayne Z. • Maths tutor
9803 Views

In the triangle ABC, AB = 16 cm, AC = 13 cm, angle ABC = 50 and angle BCA= x Find the two possible values for x, giving your answers to one decimal place.

Using the sine rule: sina/A = sinb/Bsinx/16 = sin50/13sinx = 16 * (sin50/13)sinx = 0.943x = 70.5 and 109.5
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Answered by Yva P. • Maths tutor
14708 Views