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How do I remember the common values of cosx, sinx and tanx?

To remeber the equations us SOH CAH TOA. This is Sinx = Opposite/Hypotenuse, Cos x = Adjacent/Hypotenuse and Tanx = Opposite/Adjacent. For values x=pi/3 and x=pi/6 always start by drawing an equilateral of s...
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Answered by Becky L. • Maths tutor
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Simultaneous questions: 2x+y=7, 3x-y=8

First of all, you want to get both of the questions equating to y as this is a common factor between the two equations. SO y=7-2x and 3x-8=y As both of the equations are equal to y, we can set them equal to ...
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Answered by Bronnie J. • Maths tutor
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Expand the brackets: (x-3)(x+4)

First Multiply x by (x +4) Next multiply -3 by(x+4) Then simplify the sum : x 2 +4x-3x-12 Hence the answer is : x 2 +x-12
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Answered by Anthony N. • Maths tutor
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1. Find the value of the missing edge to 2 decimal places 2. Find the angle θ to 2 decimal places

The triangle is a right angled triangle with hypotaneuse y, and sides are 7 and 10. The angle θ is between the hypotaneuse and the side of length 10 (I do have a diagram) For question 1: Using Pythagoras’ Th...
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Answered by Amelia C. • Maths tutor
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Let y be a function of x such that y=x^3 + (3/2)x^2-6x and y = f(x) . Find the coordinates of the stationary points .

y = x 3 + 1.5x 2 -6x Hence, dy/dx = 3x 2 + 3x - 6 Solve to find x when dy/dx = 0 as gradient is zero at stationary points Substitute the vaules for x back into y to find y coordinates of the stationary point...
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Answered by Michael C. • Maths tutor
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