Solve the Equation sin x-cos x=1

Kailey Vargas

Kailey Vargas

Answered question

2022-09-13

Solve the Equation
sin x cos x = 1

Answer & Explanation

Jazmin Bryan

Jazmin Bryan

Beginner2022-09-14Added 12 answers

sin x cos x = 1
divide by 2
1 / 2 sin x 1 / 2 cos x = 1 / 2
sin x · cos ( π / 4 ) cos x · sin ( π / 4 ) = 1 / 2
sin ( x π / 4 ) = 1 / 2
x π / 4 = π / 4 + 2 π n
x = π / 2 + 2 π n
or
x π / 4 = 3 π / 4 + 2 π k
x = π + π k

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