Question

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Answer 1

Answer:

${ \huge{ \underline { \sf{ \red{Required \: Solution:} }}}}$

$: { \implies{ \sf{sec \theta + tan \theta}}} \\ \\ : { \implies{ \sf{ \frac{1}{cos \theta} + \frac{sin \theta}{cos \theta} }}} \\ \\ : { \implies{ \sf{ \frac{1 + sin \theta}{cos \theta} }}} \\ \\ : { \implies{ \sf{ \frac{(1 + sin \theta)cos \theta}{cos \theta \: \times \: cos \theta } }}} \\ \\ : { \implies{ \sf{ \frac{(1 + sin \theta)cos \theta}{ {cos}^{2} \theta} }}} \\ \\ : { \implies{ \sf{ \frac{(1 + sin \theta)cos \theta}{1 + {sin}^{2} \theta} }}} \\ \\ : { \implies{ \sf{ \frac{(1 + sin \theta)cos \theta}{(1 + sin \theta)(1 - sin \theta)} }}} \\ \\ : { \implies{ \sf{ \frac{cos \theta}{1 - sin \theta} }}}$

Hence proved

Answer 2

Step-by-step explanation:

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