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    Formula Trig

    Uploaded by

    Rina Fakhry
    This document contains trigonometry formulae for compound angles, double angles, half angles, opposite angles, co-functions, reciprocal identities, and the Pythagorean identity. It provides trigonometric formulae for addition, subtraction, and various trigonometric functions of multiple angles.

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    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd

    Formula Trig

    Uploaded by

    Rina Fakhry
    13 views2 pages
    This document contains trigonometry formulae for compound angles, double angles, half angles, opposite angles, co-functions, reciprocal identities, and the Pythagorean identity. It provides trigonometric formulae for addition, subtraction, and various trigonometric functions of multiple angles.

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    formula trig

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    This document contains trigonometry formulae for compound angles, double angles, half angles, opposite angles, co-functions, reciprocal identities, and the Pythagorean identity. It provides trigonometric formulae for addition, subtraction, and various trigonometric functions of multiple angles.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    13 views2 pages

    Formula Trig

    Uploaded by

    Rina Fakhry
    This document contains trigonometry formulae for compound angles, double angles, half angles, opposite angles, co-functions, reciprocal identities, and the Pythagorean identity. It provides trigonometric formulae for addition, subtraction, and various trigonometric functions of multiple angles.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 2

    Unit 4 Activity 8 – Trigonometry Formula Sheet

    MHF4U – DCE eLearning


    The Compound Angle Formulae
    Addition Subtraction

    sin ( A
    = + B ) sin A cos B + sin Bcos A sin ( A
    = − B ) sin A cos B − sin Bcos A

    cos ( A
    = + B ) cos A cos B − sin A sin B cos ( A
    = − B ) cos A cos B + sin A sin B

    tan A + tan B tan A − tan B


    tan ( A + B ) = tan ( A − B ) =
    1 − tan A tan B 1 + tan A tan B

    Double Angle Formulae Half Angle Formulae


    sin ( 2A ) = 2sin A cos A
    A 1 − cos A
    sin   = ±
    2 2
    ( 2A ) cos 2 A − sin 2 A
    cos=
    = 1 − 2sin 2 A A 1 + cos A
    cos   = ±
    = 2 cos 2 A − 1 2 2

    2 tan A A 1 − cos A


    tan ( 2A ) = tan   = ±
    1 − tan 2 A 2 1 + cos A

    Opposite Angles Co-Functions


    π 
    sin ( −A ) =
    − sin A sin  − A  =
    cos A
    2 

    π 
    cos ( −A ) =
    cos A cos  − A  =
    sin A
    2 

    π 
    tan ( −A ) =
    − tan A tan  − A  =
    cot A
    2 

    Quotient Identity
    sin A
    tan A =
    cos A
    cos A
    cot A =
    sin A

    1
    Unit 4 Activity 8 – Trigonometry Formula Sheet
    MHF4U – DCE eLearning

    Reciprocal Identities Pythagorean Identity


    1
    sin A = sin 2 A + cos 2 A =
    1
    csc A

    1
    cos A = sec 2 A = 1 + tan 2 A
    sec A

    1
    tan A = 1 + cot 2 A =
    csc 2 A
    cot A

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