Question

Prove tan theta + 1/ tan theta = sec theta cosec theta
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Answer 1

Answer:

tan theta + 1/ tan theta = sec theta cosec theta

Answer 2

Step-by-step explanation:

To prove : tan x + 1/tanx = sec x cosec x

L.H.S = tan x + 1/tan x

=

$\frac{\tan^{2} x \: + 1}{ \tan(x) }$

=

$\frac{ \sec^{2} x }{ \frac{ \sin(x) }{ \cos(x) } }$

=

$\frac{ \sec^{2} x }{ \sin(x) } \times \cos(x)$

= (1/ cos²x) ( cosec x) (cos x)

= sec x cosec x