Question

establish identity

5csc^2theta-3cot^2theta=2csc^2theta+3
5 csc^2 Ø - 3cot^2 Ø = 2csc^2 Ø + 3

LS = 5/sin^2 Ø - 3cos^2 Ø/sin^2 Ø
= (5 - 3cos^2 Ø)/sin^2 Ø
= (5 - 3(1 - sin^2 Ø) )/sin^2 Ø
= ( 2 + 3sin^2 Ø)/sin^2 Ø
= 2/sin^2 Ø + 3sin^2 Ø/sin^2 Ø
= 2csc^2 Ø + 3
= RS

Related Questions

if cot theta =7/8 , evaluate (1+sin^2theta)(1-sin^2theta)/(1+cost^2theta)(1+co-^2theta) the answe... What is the integral of 1-tan^2theta from 0 to pi/3? Using the identity tan^2theta=sec^2theta-1,... sin theta = 8/17 and theta is in the second quadrant. Find sin(2theta),cos(2theta),tan(2theta) exact... Solve tan(40/90) for the double angle cos(2theta). I know I use the x^2 + y^2 = r^2 formula and cos(...