41.0k views
2 votes
Csc2theta=csctheta/2costheta

Can you help verify the identity

User Murat
by
8.3k points

1 Answer

3 votes

csc(2x) = csc(x)/(2cos(x))

1/(sin(2x)) = csc(x)/(2cos(x))

1/(2*sin(x)*cos(x)) = csc(x)/(2cos(x))

(1/sin(x))*1/(2*cos(x)) = csc(x)/(2cos(x))

csc(x)*1/(2*cos(x)) = csc(x)/(2cos(x))

csc(x)/(2*cos(x)) = csc(x)/(2cos(x))

The identity is confirmed. Notice how I only altered the left hand side (LHS) keeping the right hand side (RHS) the same each time.

User Mewm
by
7.9k points

Related questions

1 answer
3 votes
90.2k views
asked Aug 19, 2019 228k views
Mike Karp asked Aug 19, 2019
by Mike Karp
7.9k points
1 answer
5 votes
228k views