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Find the value of (cos(x) + sec(x))^2 with respect to x when evauated between pi/4 and 0

first we have to see if this proble can be done via inspection. The power of two means that this can't be done straight away and the expression does not look like any trig identities.
Expand it.

Answered by Eugene C. • Maths tutor

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Integrate (sin(x))^6 - Further mathematics (De Moivre's theorem)

Recall that sin(x) = (e^ix-e^-ix)/(2i) and we can rewrite the integrand as {(e^ix-e^-ix)/(2i)}⁶Factor out {1/(2i)}⁶, which is -1/64, of the in...

Answered by Akaash P. • Maths tutor

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What are the external angles of a regular hexagon?

(A diagram would be used to show what the external angles are)For any regular shape the external angles add up to 360 degrees. The external angles will all be equal since we are dealing with a regular sh...

Answered by Hannah B. • Maths tutor

5150 Views

Consider the functions f and g where f(x)=3x-5 and g(x)=x-2. (a) Find the inverse function for f. (b) Given that the inverse of g is x+2, find (g-1 o f)(x).

(a) In order to find the inverse of a function, it is easiest to swap x and y and solve for y. Here this would give, x=3y-5 => x+5=3y => (x+5)/3=y. Hence, f-1(x)=(x+5)/3. (b) Here it is important to...

Answered by Rebecca M. • Maths tutor

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Solve the equations y = x + 1 and y = x^2 - 3x + 4 simultaneously.

The first step is to identify that the first equation is linear and the second equation is a quadratic as indicated by the x squared term. Next, take the first linear equation and substitute for y in the ...

Answered by Emily I. • Maths tutor

9392 Views