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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. 143-A
Sunrise, FL 33351

Phone: 954-748-1715
Toll Free 800-770-7320
Fax: 954-748-2149
E-Mail: sales@alignoptics.com