Practise online Get the app

Paper 1 · November 2010 · Integration and Reduction Formulae

Write $\sin^2 \theta$ in terms of $\cos 2\theta$ .

Model answer

(1-cos2theta)/2

Also accepted: (1-cos(2theta))/2, 1/2 - (1/2)cos2theta

Explanation

The double angle result

\cos2\theta=1-2\sin^2\theta

rearranges to

\sin^2\theta=\dfrac{1-\cos2\theta}{2}

.

Derived from ZIMSEC Further Mathematics 9187/1, November 2010, Q7

View this paper's sittings and topics→

More questions from this paper

Find $\int \sin^2 3x\, dx$ .
Find $\int \sin^4 3x\, dx$ .
Given that $y = \sinh^{-1} x$ , find $\frac{dy}{dx}$ .
Express $4x^2 - 4x + 5$ in the form $(ax + b)^2 + c$ , where $a$ , $b$ and $c$ are integers.
A line has direction $d = 3i - k$ and passes through the point $(8, 1, -1)$ . A plane has equation $r \cdot n = 5$ , where $n = -i + 10j - 3k$ . Which pair of checks shows that the line lies in the plane?

Get the full paper, not just one question

Danho has every sitting for this paper, with your progress tracked question by question, offline.

Get it on Google Play Download on the App Store