Question

If sin4 theta + cos4 theta=1+4K sin2theta cos2theta then K is equal to???

Answer 1

Answer:

sin^4theta+cos^4theta=1+4ksin^2theta cos^2theta

(sin^2theta)^2 + (cos^2theta)^2= 1 + 4k sin^2 theta cos^2 theta

(sin^2theta)^2 + (cos^2theta)^2 + 2sin^2theta cos^2theta -2sin^2theta cos^2theta=1 + 4k sin^2theta cos^2 theta

(sin^2 theta+cos^2theta)^2 - 2 sin^2theta cos^2 theta=1 + 4k sin^2 theta cos^2 theta

-2 sin^2theta cos^2 theta=4k sin^2 theta cos^2 theta

(because sin^2 theta+ cos^2 theta=1)

k= -2 sin^2 theta cos^2theta / 4 sin^2 theta cos^2theta

k= -1/2

Answer 2

Step-by-step explanation:

Please like, share and comment