Trigonometry Formulas.txt

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Trigonometry Formulas
by FehrmanTD@aol.COM
 
 RIGHT TRIANGLES
        |  \                    Sides:  a, b, c
        |  B  \         Angles: A, B, C
      c   |           \   a
        |               \               A = 90°
        |_A_____C_\
                 b
 
 SIDES  FORMULAS
 find a (b sq + c sq)sq
 find a c x cosec. C    c / sin C
 find a c x secant B    c / cosine B
 find a b x cosec B     b / sine B
 find a b x secant C    b / cosine C
 find b (a sq - c sq)sq
 find b a x sine B              a / cosec B
 find b a x cosine C    a / secant C
 find b c x tan B               c / cotan B
 find b c x cotan C     c / tan C
 find c (a sq - b sq)sq
 find c a x cosine B    a / secant B
 find c a x sine C              a / cosec C
 find c b x cotan B     b / tan B
 find c b x tan C               b / cotan C
 
 ANGLES FORMULAS
 find C c/a = sine C            90°-B
 find C b/a = cosine C          90°-B
 find C c/b = tan C             90°-B
 find C b/c = cotan C           90°-B
 find C a/b = secant C          90°-B
 find C a/c = cosec C           90°-B
 find B b/a = sine B            90°-C
 find B c/a = cosine B          90°-C
 find B b/c = tan B             90°-C
 find B c/b = cotan B           90°-C
 find B a/c = secant B          90°-C
 find B a/b = cosec B           90°-C
 
 -------------------------------------
 
 OBLIQUE TRIANGLES
                /  \
              /   A    \
        b          /                \   c
        /                       \       
        /_C__________B_\
                    a
 
 TO FIND        KNOWN   SOLUTION
 C              A-B             180°-(A+B)
 b              a-B-A   (a x sin B) / sin A
 c              a-A-C   (a x sin C) / sin A
 tan A  a-C-b   (a x sin C) / 
                                (b-(a x cos C))
 B              A-C             180°-(A+C)
 sin B          b-A-a   (b x sin A) / a
 A              B-C             180°-(B + C)
 cos A  a-b-c   (b sq + c sq + a sq)                                    / (2bc)
 sin C          c-A-a   (c x sin A) / a
 cot B  a-C-b   ((a x cscC) / b) 
                                - cot C
 c              b-C-B   b x sin C x cscB
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