Question

Please answer this.. ..

Answer 1

$\mathbb{\underline{\green{Points\: to\: Remember:}}}$

¶ $tan θ = \frac{sin θ}{cos θ}$

¶ $cot θ = \frac{cos θ}{sin θ}$

¶ $sin^{2} θ + cos^{2} θ = 1$

¶ $sin^{2} θ - cos^{2} θ = 2sin^{2} θ - 1$

$\mathcal{\red{\underline{\purple{SOLUTION:}}}}$

$\mathcal{\underline{\blue{L.H.S}}}$

= $tan θ - cot θ$

= $\frac{sin θ}{cos θ} - \frac{cos θ}{sin θ}$

= $\frac{sin^{2} θ - cos^{2} θ}{sin θ . cos θ}$

= $\frac{2sin^{2} θ - 1}{sin θ . cos θ}$

= $\mathcal{\underline{\blue{R.H.S}}}$

$\mathfrak{\huge{\pink{Cheers}}}$

$\mathcal{\huge{\orange{Hope\: it\: Helps}}}$