Question

यदि 17 cot A =15, sin Aऔर cos A का मान ज्ञात करें ।

Answer 1

Answer:

see picture.....

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Answer 2

Step-by-step explanation:

${ \cot(a) }^{2} + 1 = { \csc( a) }^{2} \\ {15}^{2} + 1 = { \csc(a) }^{2} \\ 225 + 1 = { \csc(a) }^{2} \\ 226 = { \csc(a) }^{2} \\ \csc(a ) = \sqrt{226} \\ but \: \\ \sin(a) = \frac{1}{ \csc(a) } \\ \sin(a) = \frac{1}{ \sqrt{226} } \\ { \sin(a) }^{2} + { \cos(a) }^{2} = 1 \\ ( { \frac{1}{ \sqrt{226} } )}^{2} + { \cos(a) }^{2} = 1 \\ \frac{1}{226} + { \cos(a) }^{2} = 1 \\ { \cos(a) }^{2} = 1 - \frac{1}{226} \\ { \cos(a) }^{2} = \frac{226 - 1}{226} \\ { \cos(a) }^{2} = \frac{225}{226} \\ \cos(a) = \frac{15}{ \sqrt{226} }$