Question

If sin theta = c/ root c^2 +d^2 , find the value of cos theta and tan theta​

Answer 1

Step-by-step explanation:

$\sin( \alpha ) = \frac{c}{ \sqrt{ {c}^{2} + {d}^{2} } } = \frac{p}{b} \\ so \: p = c \\ b = \sqrt{ {c}^{2} + {d}^{2} } \\ h = \sqrt{ {p}^{2} + {b}^{2} } = \sqrt{ {c}^{2} + { \sqrt{ {c}^{2} + {d}^{2} } }^{2} } \\ = \sqrt{ {c}^{2} + {c}^{2} + {d}^{2} } = \sqrt{2 {c}^{2} + {d}^{2} } \\ \csc( \alpha ) = \frac{b}{h} = \frac{ \sqrt{ {c}^{2} + {d}^{2} } }{ \sqrt{2 {c}^{2} + {d}^{2} } } \\ \tan( \alpha ) = \frac{p}{b} = \frac{c}{ \sqrt{ {c}^{2} + {d}^{2} } }$

Answer 2

Step-by-step explanation:

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