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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,...
AF
Answered by Anna F. Maths tutor
6992 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 ...

LF
Answered by Lachlan F. Maths tutor
3279 Views

How should I prepare to write a commentary on an unseen poem?

Although the unseen poetry section of an exam can seem intimidating, in my experience I've found it useful to begin by annotating the poem, and then using these annotations to structure your commentary. T...

ND
3173 Views

How should I structure an essay paragraph?

A common way to structure paragraphs is to follow PEE, or ‘point, evidence, explanation.’ First, we start with our ‘point,’ or the statement of our argument. This should be 1 or 2 sentences long. This tel...

PS
Answered by Philippa S. History tutor
3555 Views

1/4+0.5

1/4+2/4=3/4

ML
Answered by Max L. Maths tutor
4802 Views

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