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Optics Reference Guide

Angle Formulas Reference Chart


Right     |     Oblique
Formulas for Finding Functions of Angles

Right Triangles

Angle Formulas Reference Chart
To
Find
Known
Parts
Formula Alternate
Formula
A C & D C x SIN D = A
C
COSEC D
= A
A C & E C x COS E = A
C
SEC E
= A
A B & D B x TAN D = A
B
COT D
= A
A B & E B x COT E = A
B
TAN E
= A
A C & B √(C2 - B2) = A
B C & D C x COS D = B
C
SEC D
= B
B C & E C x SIN E = B
C
COSEC E
= B
B A & D A x COT D = B
A
TAN D
= B
B A & E A x TAN E = B
A
COTAN E
= B
B C & A √(C2 - A2) = B
C A & D A x COSEC D = C
A
SIN D
= C
C A & E A x SEC E = C
A
COS E
= C
C B & E B x COSEC E = C
B
SIN E
= C
C B & D B x SEC D = C
B
COS D
= C
C A & B √(A2 + B2) = C
D A & C
A
C
= SIN D
C
A
= COSEC D
D B & C
B
C
= COS D
C
B
= SEC D
D A & B
A
B
= TAN D
B
A
= COT D
D E 90° - E° = D°
E B & C
B
C
= SIN E
C
B
= COSEC E
E A & C
A
C
= COS E
C
A
= SEC E
E A & B
B
A
= TAN E
A
B
= COT E
E D 90° - D° = E°
AREA A & B
A x B
2
= AREA
AREA A & D
A2 x COT D
2
= AREA
AREA B & D
B2 x TAN D
2
= AREA
AREA C & D
C2 x SIN 2D
4
= AREA

Oblique Triangles

Oblique Angle Formulas Reference Chart
To
Find
Known
Parts
Formula
A B-D-E
B x SIN E
SIN D
= A
B A-D-E
A x SIN D
SIN E
= B
C A-F-E
A x SIN F
SIN E
= C
C B-F-D
B x SIN F
SIN D
= C
D E & F 180° - (E° + F°) = D°
D A-B-F
B x SIN F
A - (B x COS F)
= TAN D
D A-B-C
C2 + A2 - B2
2 x C x A
= COS D
D A-B-E
B x SIN E
A
= SIN D
E D & F 180° - (D° + F° = E°
E A-B-F
B x COSEC F
A
- COT F = COT E
E A-C-F
A x SIN F
C
= SIN E
E A-B-D
A x SIN D
B
= SIN E
F D & E 180° - (D° + E°) = F°
F C-D-B
C x SIN D
B
= SIN F
AREA A-B-F
A x B x SIN F
2
= AREA

Formulas for Finding
Functions of Angles

Oblique Angle Formulas Reference Chart
Side opposite
Hypotenuse
= SINE
Side adjacent
Hypotenuse
= COSINE
Side opposite
Side adjacent
= TANGENT
Side adjacent
Side opposite
= COTANGENT
Hypotenuse
Side adjacent
= SECANT
Hypotenuse
Side opposite
= COSECANT




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Align Optics
4700 Hiatus Rd., Ste. 144-A
Sunrise, FL 33351

Phone: 954-748-1715
Toll Free 800-770-7320
Fax: 954-748-2149
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