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See solution for the  question: SINX-COSX ₌
SINX-COSX ₌
Take the square of both sides(SINX)² – (COSX)² ₌0.2
RecalledSIN² X +COS²X ₌1
SIN²X-(1-SIN²X) = 0.2SIN²X+SIN²X=0.2+12SIN²X =1.2Divide both sides by two2SIN²X ÷2  = 1.2 ÷2SIN²X =0.6Take the square root of both sidesSINX =0.7746X = ARCSIN(0.7746)X =  50.7684 DegreeApprox. 51 Degree