Trigonometrical Ratios In Terms of Each Other
Category : JEE Main & Advanced
| \[\mathbf{sin}\,\mathbf{\theta }\] | \[\mathbf{cos}\,\mathbf{\theta }\] | \[\mathbf{tan}\,\mathbf{\theta }\] | \[\mathbf{cot}\,\,\mathbf{\theta }\] | \[\mathbf{sec}\,\,\mathbf{\theta }\] | \[\mathbf{cosec}\,\,\mathbf{\theta }\] | |
| \[\mathbf{sin}\,\mathbf{\theta }\] | \[\sin \,\theta \] | \[\sqrt{1-{{\cos }^{2}}\theta }\] | \[\frac{\tan \theta }{\sqrt{1+{{\tan }^{2}}\theta }}\] | \[\frac{1}{\sqrt{1+{{\cot }^{2}}\theta }}\] | \[\frac{\sqrt{{{\sec }^{2}}\theta -1}}{\sec \theta }\] | \[\frac{1}{\text{cosec}\theta }\] |
| \[\mathbf{cos}\,\mathbf{\theta }\] | \[\sqrt{1-{{\sin }^{2}}\theta }\] | \[\cos \theta \] | \[\frac{1}{\sqrt{1+{{\tan }^{2}}\theta }}\] | \[\frac{\cot \theta }{\sqrt{1+{{\cot }^{2}}\theta }}\] | \[\frac{1}{\sec \theta }\] | \[\frac{\sqrt{\text{cose}{{\text{c}}^{2}}\theta -1}}{\text{cosec}\theta }\] |
| \[\mathbf{tan}\,\mathbf{\theta }\] | \[\frac{\sin \theta }{\sqrt{1-{{\sin }^{2}}\theta }}\] | \[\frac{\sqrt{1-{{\cos }^{2}}\theta }}{\cos \theta }\] | \[\tan \,\theta \] | \[\frac{1}{\cot \theta }\] | \[\sqrt{{{\sec }^{2}}\theta -1}\] | \[\frac{1}{\sqrt{\text{cose}{{\text{c}}^{2}}\theta -1}}\] |
| \[\mathbf{cot}\,\,\mathbf{\theta }\] | \[\frac{\sqrt{1-{{\sin }^{2}}\theta }}{\sin \theta }\] | \[\frac{\cos \theta }{\sqrt{1-{{\cos }^{2}}\theta }}\] | \[\frac{1}{\tan \theta }\] | \[\cot \,\theta \] | \[\frac{1}{\sqrt{{{\sec }^{2}}\theta -1}}\] | \[\sqrt{\text{cose}{{\text{c}}^{2}}\theta -1}\] |
| \[\mathbf{sec}\,\,\mathbf{\theta }\] | \[\frac{1}{\sqrt{1-{{\sin }^{2}}\theta }}\] | \[\frac{1}{\cos \theta }\] | \[\sqrt{1+{{\tan }^{2}}\theta }\] | \[\frac{\sqrt{1+{{\cot }^{2}}\theta }}{\cot \theta }\] | \[\sec \,\theta \] | \[\frac{\text{cosec}\theta }{\sqrt{\text{cose}{{\text{c}}^{2}}\theta -1}}\] |
| \[\mathbf{cosec}\,\,\mathbf{\theta }\] | \[\frac{1}{\sin \theta }\] | \[\frac{1}{\sqrt{1-{{\cos }^{2}}\theta }}\] | \[\frac{\sqrt{1+{{\tan }^{2}}\theta }}{\tan \theta }\] | \[\sqrt{1+{{\cot }^{2}}\theta }\] | \[\frac{\sec \theta }{\sqrt{{{\sec }^{2}}\theta -1}}\] | \[\text{cosec}\,\,\theta \] |
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