Solve: tan(x)-cos^2(x)=sin^2(x)

x = 45 degrees +180 n  where n is an integer

Step-by-step explanation:

tan(x)-cos^2(x)=sin^2(x)

Add cos^2(x) to each side

tan(x)-cos^2(x)+ cos^2(x)=sin^2(x)+ cos^2(x)

tan(x)=sin^2(x)+ cos^2(x)

We know that sin^2(x)+ cos^2(x) = 1

tan (x) =1

Take the inverse tan of each side

tan ^-1 ( tan x) = tan ^-1 (1)

x = 45 degrees +180 n  where n is an integer

x> 6

step-by-step explanation:

8x+8> 7x+14

8x-7x> 14-8

x> 6

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