Set up tables and verify each identity Set up tables and ver

Set up tables and verify each identity.

Set up tables and verify each identity. tan(8 theta) - tan(8 theta)tan^2(4 theta) = 2tan(4 theta) sin(2x) = 2tan(x)/1+tan^2(x)

Solution

c.)

taking LHS

tan 8-tan 8 tan^2 4= tan 8(1- tan^2 4)

we know, tan(2x) = 2 tan(x) / (1 - tan^{^2}(x))

so,

tan 8 * 2 tan 4/ tan 8= 2 tan 4= RHS hence proved