Verify the identity algebraically: Csc(-x)tanx =-secx

asked Apr 6, 2022 104k views

2 votes

Verify the identity algebraically:
Csc(-x)tanx =-secx

6.3k points

Please log in or register to add a comment.

0 votes

Explanation:

Recall that

$\sin(-x) = -\sin x$

Therefore,

$\csc(-x) = (1)/(\sin(-x)) = -(1)/(\sin x)$

$\csc(-x)\tan x = \left(-(1)/(\sin x)\right)\left((\sin x)/(\cos x)\right)$

$\:\:\:\:\:\:\:\:\:= -(1)/(\cos x) = -\sec x$

5.8k points

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

6.6m questions

8.8m answers