Question

if 7sin2theta + 3 cos2theta = 4, then prove that sectheta + cosectheta = 2+2/root3​

Answer 1

Answer:

7 sin^2theta+3 cos^2theta=4

7sin^2theta+3(1-sin^2theta)=4

7sin^2theta+3-3sin^2theta=4

4sin^2theta+3=4

4sin^2theta=1

sin^2theta=1/4

sin theta=+1/2

sin theta=+ pi/6

Therefore tan theta=+ pi/6

then we get tan theta= + 1/root 3

As the required answer us tan theta=+1/root 3(here we considered theta=+pi/6).

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