Solve the Equation sin x-cos x=1

Kailey Vargas 2022-09-13 Answered
Solve the Equation
sin x cos x = 1
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Answers (1)

Jazmin Bryan
Answered 2022-09-14 Author has 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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