Question

prove that ☺️☺️☺️☺️☺️☺️☺️​

Answer 1

Answer:

here's your answer mate

Step-by-step explanation:

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Answer 2

Proof :

$\sf \frac{1}{ \sec A - 1} + \frac{1}{ \sec A + 1}$

$\sf = \frac{ \sec A - 1 + sec A + 1}{(\sec A - 1)( \sec A + 1)}$

$\sf= \frac{2 \sec A}{sec {}^{2} A - 1}$

$\sf= \frac{2 \sec A }{ \tan {}^{2} A}$

$\sf = \frac{2 \times \frac{1}{ \cos A} }{ \frac{ {\sin}^{2} A}{{ \cos}^{2} A} }$

$\sf = \frac{2 \cos A}{ \sin {}^{2} A}$

$\sf = \frac{2 \cos A}{ \sin A} \times \frac{1}{ \sin A}$

$\sf = \frac{2}{ \cot A \csc A}$

$\bold{Hence \: Proved}$

Formula used :

• tan²A + 1 = sec² A
• sinA = 1/cosecA
• cosA = 1/sinA
• tanA = sinA/cosA
• cotA = cosA/sinA