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Given that A(sin θ + cos θ) + B(cos θ − sin θ) ≡ 4 sin θ, find the values of the constants A and B.

Since this must be true for all values of θ, and cos and sin are distinct functions, no non-zero multiple of cosθ could ever be equal to 4 sinθ for all values of θ. Therefore, the overall multiple of cosθ...

Answered by David B. Maths tutor
6925 Views

Find the derivative with respect to x, of 5cos(x)+ 4sin(x)

f(x) = 5cos(x) + 4sin(x)to find f,(x) this is just another notation for the derivative.To differentiate trigonometry I always use this one simple trick which I will show on th...

Answered by Ryan P. Maths tutor
3551 Views

Solve the inequality x^2 - 9 > 0

This is a quadratic inequality, because we have an x2 term, so we answer this question by examining the graph of the associated equation y = x2 - 9, and then find out where this grap...

Answered by Rose H. Maths tutor
13762 Views

Given that 7/9 = 0.77777777 (recurring) convert 0.27777777(recurring) into a fraction. Give your answer in the simplest form.

if 7/9 = 0.777777 then 0.0777777 must be equal to 7/90 as it is a tenth of the original number. 0.2= (2/10)(7/90) + (2/10) = 0.27777777 find the lowest common multiple: 90, then make the denominators of e...

Answered by Nial K. Maths tutor
3900 Views

Solve algebraically the simultaneous equations x2 +y2 =25 and y – 3x = 13

Firstly, let's begin by rearranging the second equation so that we can get y on its own. Therefore we will get, y = 3x +13. Through substitution, we can do this:x2+ (3x +13)2= 25 . (...

Answered by Tasmin M. Maths tutor
5403 Views

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