Trig identities and formulas for final review!

for final!

Sin(x)=

1/csc(x)

cos(x)=

1/sec(x)

tan(x)

1/cot(x)

tan(x)=

Sin(x)/cos(x)

Cot(x)

cos(x)/sin(x)

Sin²(x)+cos²(x)=

1

Tan²(x)+1=

Sec²(x)

1+cot²(x)=

csc²(x)

sin(A+B)=

sin(A)cos(B) + cos(A)sin(B)

sin(A-B)=

sin(A)cos(B) - cos(A)sin(B)

cos(A+B)=

cos(A)cos(B) - sin(A)sin(B)

Cos(A-B)=

cos(A)cos(B)+sin(A)sin(B)

Tan(A+B)=

tanA+tanB/1-tanAtanB

tan(A-B)=

tanA-tanB/1+tanAtanB

cos2A=

cos²a-sin²a

cos2A=

2cos²a-1

cos2A=

1-2sin²a

sin2A=

2sinAcosA

tan2A=

2tanA/1-tan²A

cos A/2=

±√((1 + cosA)/2)

sin A/2=

±√((1 - cosA)/2)

tan A/2=

±√((1 - cosA)/(1 + cosA))

tan A/2=

sinA/1+cosA

tan A/2=

1-cosA/sinA

For monolith problems, the formula used is…

F=Wsin(x)

Arc length formula=

s=r(x)

Linear speed formula

v=s/t

Angular speed formula=

W=(x)/t

Area of a sector formula is…

1/2r²(x)

Law of sines

a/sinA=b/sinB=c/sinC OR sinA/a=sinB/b=sinC/c

Law of cosines…

a²=b²+c²-2bc(cos(A)), change the letters and equation order around when needed.