Given that
\(\sin \theta=p\),
\(0^\circ \lt \theta \lt90^\circ\),
express
\(\tan (90^\circ-\theta)\)
in terms of \(p\).
\(\dfrac{1}{\sqrt{1-p^2}}\)
\(\dfrac{\sqrt{1-p^2}}{p}\)
\(\cos x=-0.9164\)
such that
\(0^\circ \lt x \lt 180^\circ\),
find the value of \(\tan x\).
\(0.5367\)
\(-0.6367\)
Sketch the graphs of
\(y=1+\sin x\)
and
\(y=2\cos 2x\)
for
\(0^\circ \le x \le 360^\circ\)
on the same axes.
Hence, state the number of solutions to the equation
\(1+\sin x=2 \cos 2x.\)
\(2\)
\(3\)
Solve the equation
\(2\cos^2 x-1=\cos x\)
\(0^\circ \lt x \lt 360^\circ\).
\(\begin{aligned} 120^\circ,240^\circ \end{aligned}\)
\(\begin{aligned} 130^\circ,230^\circ \end{aligned}\)
It is given that
\(\sin A =\dfrac{12}{13}\)
\(\cos B =\dfrac{3}{5}\),
where \(A\) is an obtuse angle and \(B\) is an acute angle.
Find
\(\cos(A-B)\).
\(\dfrac{31}{65}\)
\(\dfrac{32}{65}\)
There is something wrong with this question.
