Question

Cot +tan= cosec sec​

Answer 1

Answer:

cot plus tan =cosec sec

Step-by-step explanation:

cos/sin + sin /cos

using lcm

cos²+ sin²/cos sin

since cos² +sin²=1

therefore

1/cos sin

1/cos =sec

1/sin = cosec

therefore

1/cos sin

cosec sec

Answer 2

Answer:

$\huge\mathfrak\red{Hello}$

Step-by-step explanation:

Given:

• LHS = Cot$\theta$+Tan$\theta$
• RHS= sec$\theta$.cosec$\theta$

$\mathcal\blue{ We \: need \:to \: prove }$

Proof:

$\cot \theta + \tan \theta$

$\frac{cos}{sin} + \frac{sin}{cos}$

$\displaystyle\frac{cos {}^{2} + sin {}^{2} }{sin \times cos}$

$\huge{\underline{\underline{\mathbb{ \color{violet}{ \: \: REMEMBER \: \: }}}}}$

${∵sin {}^{2} x+cos {}^{2} x=1}$

$\displaystyle\frac{1}{sin \times cos}$

$cosec \theta sec\theta$

RHS

${\huge{\underbrace{\overbrace{\color{aqua}{Hence \: proved}}}}}$