Question

Please solve question both parts of Qno. 17

Answer 1

hey mate

here is your answer

see the attachment for your answer

Answer 2

HEY THERE!!!


Question:-

Prove that : Cot ∅ - tan ∅

Now,

Cot ∅ - tan ∅

$\mathtt{\frac{cos\theta}{sin \theta}} - \mathtt{\frac{sin\theta}{cos \theta}} \\ \\ \\ \implies\frac{ {cos \theta}^{2} - {sin \theta}^{2} }{(sin \: \theta)(cos \: \theta} \\ \\ \\ \implies\frac{ {cos \theta}^{2} - {(1 - cos \theta)}^{2} }{(sin \: \theta)(cos \: \theta} \\ \\ \\ \: \implies\frac{ {cos \theta}^{2} { + cos \theta }^{2} - 1 }{(sin \: \theta)(cos \: \theta} \\ \\ \\ \\ \implies\frac{ {2cos \theta}^{2} - 1 }{(sin \: \theta)(cos \: \theta)} \\ \\ \mathsf{\fbox{ \red{proved}}}$