Dè an luach mionaideach aig \(\sin 75^\circ\)?
\[\frac{{\sqrt 3 - 1}}{{2\sqrt 2 }}\]
\[\frac{{1- \sqrt 3 }}{{2\sqrt 2 }}\]
\[\frac{{1 + \sqrt 3}}{{2\sqrt 2 }}\]
Dè an luach mionaideach aig \(\cos105^\circ\)?
\[\frac{{1 - \sqrt 3 }}{{2\sqrt 2 }}\]
Bhon as e ceàrn caol a th' ann an \(a\) agus gu bheil \(\tan a= \frac{1}{5}\), dè an luach mionaideach aig \(\sin 2a\)?
\[\frac{1}{{13}}\]
\[\frac{5}{{12}}\]
\[\frac {5}{{13}}\]
Nuair a tha \(\sin (x + 2y)\cos (y - x) + \cos (x + 2y)\sin (y - x)\) air a shìmpleachadh, dè tha e co-ionann ris?
\[\cos (2x + y)\]
\[\cos 3y\]
\[\sin 3y\]
Nuair a tha \(\cos 7x^\circ \cos 5x^\circ + \sin 7x^\circ \sin 5x^\circ\) air a shìmpleachadh, dè am freagairt a th' ann?
\[\cos 2x^\circ\]
\[\cos 12x^\circ\]
\[\sin 2x^\circ\]
Ma tha \(\sin x = \frac{2}{3}\) agus \(0 \textless x \textless \frac{\pi }{2}\), obraich a-mach na luachan mionaideach aig \(\cos x\) agus \(\tan x\).
\(\cos x = \frac{{\sqrt 5 }}{3}\) agus \(\tan x = \frac{2}{{\sqrt 5 }}\)
\(\cos x = \frac{{\sqrt 5 }}{9}\) agus \(\tan x = \frac{4}{{\sqrt 5 }}\)
\(\cos x = \frac{2}{{\sqrt 5 }}\) agus \(\tan x = \pm \frac{{\sqrt 5 }}{3}\)
Nuair a tha \(\cos x + \sqrt 3 \sin x\) anns an riochd \(k\sin (x + \alpha )\), dè na luachan a th' aig \(k\) agus \(\alpha\)?
\(k = 2\) agus \(\alpha = 30^\circ\)
\(k = 2\) agus \(\alpha = 60^\circ\)
\(k = \sqrt 2\) agus \(\alpha = 30^\circ\)
Tha an luach as motha aig \(5\sin (x - 30)^\circ\) a' tachairt nuair a tha \(x\) co-ionann ri:
\[120^\circ\]
\[90^\circ\]
\[60^\circ\]
Dè an luach as motha aig \(2 + 3\sin (x + 20)^\circ\)?
\[3\]
\[- 1\]
\[5\]
Bhon a tha \(k\cos \alpha = - 1\) agus \(k\sin \alpha = 1\), \(k \textgreater 0;\,0 \le \alpha \le 360\), dè na luachan aig \(k\) agus \(\alpha\)?
\[k = \sqrt 2 ;\,\alpha = 45^\circ\]
\[k = \sqrt 2 ;\,\alpha = 135^\circ\]
\[k = 2;\,\alpha = 45^\circ\]