20.10 Exact values (Extended)
Find the exact value of the following:
\sin 30 \degree
\sin 60 \degree
\sin 45 \degree
\cos 45 \degree
\cos 60 \degree
\cos 30 \degree
\tan 60 \degree
\tan 45 \degree
\tan 30 \degree
Evaluate the following expressions, leaving your answer in exact, rationalised form:
Find the exact value of the pronumeral in the following triangles:
Consider the given triangle:
Find the exact length of side a.
Find the exact length of side b.
For each of the following triangles:
Find the exact value of x.
Find the exact value of y.
Consider the unknown lengths in the given figure:
Find m.
Find t.
\theta is an angle in a right-angled triangle. Find the value of \theta in the following equations:
\cos \theta = \dfrac{1}{2}
\sin \theta = \dfrac{\sqrt{3}}{2}
\sin \theta = \dfrac{1}{\sqrt{2}}
\tan \theta = \dfrac{1}{\sqrt{3}}
Find the value of \theta if \cos \theta = \dfrac{1}{\sqrt{2}} and \sin \theta = \dfrac{1}{\sqrt{2}}.
Given that \cos \theta = \dfrac{\sqrt{3}}{2} and \sin \theta = \dfrac{1}{2}:
Find the value of \theta.
Find the value of \tan \theta.
Find the unknown \theta in the following triangles:
