6.2: important trig identities

ones to remember

1

sin²(x)+cos²(x)

cot²(x)

csc²(x)-1

csc²(x)

1+cot²(x)

sec²(x)

tan²(x)+1

sin²(x)

(1-cos(2x))/2

cos²(x)

(1+cos(2x))/2

tan²(x)

sec²(x)-1

∫tan(x) dx

ln|sec(x)|+c

∫sec(x) dx

ln|sec(x)+tan(x)|+c

∫cos(x) dx

Sin(x)+c

∫sin(x) dx

-cos(x)+c

∫-cos(x) dx

-sin(x)+c

∫sec²(x) dx

Tan(x)+c

∫1/(1+x²) dx

Arctan(x)+c

∫1/(√1-x²) dx

Arcsin(x)+c