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Use integration to find the exact value of [integral of] (9-cos^2(4x)) dx

  1. you cannot integrate cos^2(4x) without making substitutions first. Use the cos^2(x) + sin^2(x) = 1 identity with the cos(2x)=cos^2(x)-sin^2(x), rearrange to get the identity cos(2x) = 2cos^2(x) - 1,...
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Answered by Anna F. Maths tutor
7227 Views

Solve the equation sec^2(A) = 3 - tan(A), for 0<= A <= 360 (degrees)

Using simple trig identities, we know tan^2(A) + 1 = sec^2(A).Substituting for sec^2(A) into our equation, we get: tan^2(A) + 1 = 3 - tan(A).Moving this over to one side, we get the quadratic in terms of ...

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Answered by Lachlan F. Maths tutor
3484 Views

1/4+0.5

1/4+2/4=3/4

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Answered by Max L. Maths tutor
5044 Views

If the functions f and g are defined: f: x--> x/5 + 4 g : x--> 30x + 10. what is x, if fg(x) = x. ?? What would fgf(x) = x^2 be??

You should insert function g into function f. (30x + 10) / 5 + 4 = 0 6x + 2 + 4 = 0 6x + 6 = 0 x = -1
This is a more complex problem:You need to do a similar task but you should do it in steps.gf(...

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Answered by Lottie M. Maths tutor
3845 Views

Prove Pythagoras' Theorem

Never in a GCSE syllabus, but still a question I had as a student and one I hear today- something, I feel, is worth going over (Similar in a sense to proving that completing the square works). We use the ...

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Answered by Sam C. Maths tutor
3026 Views

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