Question

(sinA+cosecA)+(cosA+ secA)=7+ tanA+ cotA​

Answer 1

Step-by-step explanation:

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Answer 2

${ \bold {\red {\underline {\underline {\star \: {given}}}}}}$

$( \sec \: a + \cos \: a ) + ( \cos \: a + \sec \: a) = 7 + \tan \: a + \cot \: a.$

${ \bold {\red { \underline {\underline {\star \: {squaring}}}}}}$

${ \sin }^{2} a + {\cosec}^{2} a \: + 2 \sin \: a \times \cosec \: a + {\cos }^{2} a + {\sec }^{2} a + 2 \cos \: a \times \sec \: a. \\ \\ \rightarrow 1 + 1 + { \cot }^{2} a + 1 + { \tan}^{2} a + 2 + 2. \\ \\ \rightarrow 7 + { \cot }^{2} a + {\tan}^{2} a$

${ \bold {\red{ \underline {\underline{ \star \: {proved}}}}}}$