Trigonometry
Category : 10th Class
TRIGONOMETRY
FUNDAMENTALS
TRIGONOMETRY RATIO
\[sin\theta =\frac{AB}{AC}=\frac{P}{h}\]
\[cos\theta =\frac{BC}{AC}=\frac{b}{h}\]
\[tan\theta =\frac{AB}{BC}=\frac{p}{b}\]
The ratio \[cosec\theta ,sec\theta \]and \[\cot \theta \]are respectively the reciprocals of the \[sin\theta ,cos\theta \] and \[tan\theta \].
i.e., \[\sin \theta =\frac{1}{\cos ec\theta }\text{ },cos\theta =\frac{1}{\cos ec\theta }\text{ }and\,tan\theta =\frac{1}{\cot \theta }\]
Trigonometric ratio of some specific angles
\[\angle \theta \] |
\[{{0}^{{}^\circ }}\] |
\[{{30}^{{}^\circ }}\] |
\[{{45}^{{}^\circ }}\] |
\[{{60}^{{}^\circ }}\] |
\[{{90}^{{}^\circ }}\] |
\[\sin \theta \] |
0 |
\[\frac{1}{2}\] |
\[\frac{1}{\sqrt{2}}\] |
\[\frac{\sqrt{3}}{2}\] |
1 |
\[\cos \theta \] |
1 |
\[\frac{\sqrt{3}}{2}\] |
\[\frac{1}{\sqrt{2}}\] |
\[\frac{1}{2}\] |
0 |
\[\tan \theta \] |
0 |
\[\frac{1}{\sqrt{3}}\] |
1 |
\[\sqrt{3}\] |
Not defined |
\[\cos ec\theta \] |
Not defined |
2 |
\[\sqrt{2}\] |
\[\frac{2}{\sqrt{3}}\] |
1 |
\[sec\theta \] |
1 |
\[\frac{2}{\sqrt{3}}\] |
\[\sqrt{2}\] |
2 |
Not defined |
\[\cot \theta \] |
Not defined |
\[\sqrt{3}\] |
1 |
\[\frac{1}{\sqrt{3}}\] |
0 |
TRIGONOMETRY IDENTITIES
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