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cosФ=adj side/hyp

tanФ=opp side/adj side

cotФ=adj side/op side

cosecФ=1/sinФ

secФ=1/cosФ

intermediate:

sin(a+b)= sina.cosb+cosa.sinb

cos(a+b)=cosacosb-sinasinb

sin²Ф+cos²Ф=1

1+tan²Ф=sec²Ф

1+cot²Ф=cosec²Ф

enough for a homework

Ф is the angle

sin^2A+cos^2A=1

sec^2A-tan^2a=1

cossec^2A-cot^2A=1

sinA=1/cossecA

cosA=1/secA

tanA=1/cotA

sinA=cos(90-A)

tanA=cot(90-A)

cossecA=sec(90-A)

sin2A=2sinA*cosA

cos2A=cos^2A-sin^2A

=1-2sin^2A

=2cos^2A-1

sin(A+B)=sinA*cosB+cosAsinB

sin(A-B)=sinAcosB-cosAsinB

cos(A+B)=cosA*cosB-sinA*sinB

cos(A-B)=cosAcosB+sinAsinB

tan(A+B)=(tanA+tanB)/1-tanAtanB

tan(A-B)=(tanA-tanB)/1+tanAtanB

2sinAcosB=sin(A+B)+sin(A-B)

2cosAsinB=sin(A+B)-sin(A-B)

2cosAcosB=cos(A+B)+cos(A-B)

2sinAsinB=cos(A-B)-COS(A+B)

sin(A+B)sin(A-B)=sin^2A-sin^2B

cos(A+B)cos(A-B)=cos^2A-sin^2B