Question

if sinA +cosecA =2 then find the value of sin^4 A + cosec^4A

Answer 1

Given Equation is sin A + cosecA = 2.

On Squaring both sides, we get

(sinA + cosecA)^2 = (2)^2

sin^2a + cosec^2a  + 2sinacoseca = 4

sin^2a + cosec^2a + 2 * sina * 1/sina = 4

sin^2a + cosec^2a + 2 = 4

sin^2a + cosec^2a  = 2

Now,

On squaring both sides, we get

(sin^2a + cosec^2a)^2 = (2)^2

sin^4a + cosec^4a + 2sin^2a cosec^2a = 4

sin^4a + cosec^4a + 2 * 1 = 4

sin^4a + cosec^4a = 2.


Hope this helps!

Answer 2

Hi,

Please see the attached file!


Thanks