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    Transfer/ Performance Task 2: Mathematics IV Mr. Carlo Dela Cruz

    Uploaded by

    Paolo David
    This document contains a mathematics lesson on addition and subtraction formulas in trigonometry. It includes examples of using sum and difference formulas to find trigonometric functions of combined angles, including solving problems with trigonometric ratios of unknown angles. It also explores special angle identities and applying trigonometric concepts to real-world problems. Students are instructed to practice using sum and difference formulas to solve similar problems at the end.

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    Transfer/ Performance Task 2: Mathematics IV Mr. Carlo Dela Cruz

    Uploaded by

    Paolo David
    32 views21 pages
    This document contains a mathematics lesson on addition and subtraction formulas in trigonometry. It includes examples of using sum and difference formulas to find trigonometric functions of combined angles, including solving problems with trigonometric ratios of unknown angles. It also explores special angle identities and applying trigonometric concepts to real-world problems. Students are instructed to practice using sum and difference formulas to solve similar problems at the end.

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    This document contains a mathematics lesson on addition and subtraction formulas in trigonometry. It includes examples of using sum and difference formulas to find trigonometric functions of combined angles, including solving problems with trigonometric ratios of unknown angles. It also explores special angle identities and applying trigonometric concepts to real-world problems. Students are instructed to practice using sum and difference formulas to solve similar problems at the end.

    Copyright:

    Attribution Non-Commercial (BY-NC)
    Download as PPTX, PDF, TXT or read online from Scribd
    Download as pptx, pdf, or txt
    32 views21 pages

    Transfer/ Performance Task 2: Mathematics IV Mr. Carlo Dela Cruz

    Uploaded by

    Paolo David
    This document contains a mathematics lesson on addition and subtraction formulas in trigonometry. It includes examples of using sum and difference formulas to find trigonometric functions of combined angles, including solving problems with trigonometric ratios of unknown angles. It also explores special angle identities and applying trigonometric concepts to real-world problems. Students are instructed to practice using sum and difference formulas to solve similar problems at the end.

    Copyright:

    Attribution Non-Commercial (BY-NC)
    Download as PPTX, PDF, TXT or read online from Scribd
    Download as pptx, pdf, or txt
    of 21

    TRANSFER/ PERFORMANCE

    TASK 2
    Mathematics iv
    Mr. Carlo Dela cruz
    Addition and
    Subtraction
    Formulas
    Mathematics iv
    Mr. Carlo Dela cruz
    What is the sum???
    + =
    + + =
    =
    =
    +
    x
    What is the sum???
    1
    =
    =
    =
    x
    x
    +
    What is the sum???
    1
    2
    3
    1 1 1
    3
    2
    3 5
    5
    2
    10
    + =
    + + =
    =
    =
    +
    x
    What is the sum???
    10
    0 0
    1 1
    1
    10
    5
    15
    =
    =
    =
    x
    x
    +
    Importance
    Sum and Difference-
    TRIGONOMETRY
    Exploration
    Find the exact value
    of the following:
    cos 90
    cos 60
    cos 30
    2
    3
    2
    1
    0
    Exploration
    Identify if the following
    Statements is true or false
    1.cos (30+60)= cos 30 +cos 60

    2. cos (90-30)= cos 90 cos 30

    3.cos( 90-60)= cos90- cos 60
    What if!!!
    30 sin 90 sin 30 cos 90 cos ) 30 90 cos( + =
    2
    1
    0
    2
    1
    + =
    |
    .
    |

    \
    |
    +
    |
    |
    .
    |

    \
    |
    =
    2
    1
    1
    2
    3
    0 ) 60 cos(
    2
    1
    2
    1
    =
    Sum and Difference Formulas
    B A B A B A sin sin cos cos ) cos( + =
    B A B A B A sin sin cos cos ) cos( = +
    B A B A B A sin cos cos sin ) sin( + = +
    B A B A B A sin cos cos sin ) sin( =
    B A
    B A
    B A
    tan tan 1
    tan tan
    ) tan(

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

    =
    The Purpose
    Not special angle
    Can be expressed
    using special
    angle
    Find the exact value of the following:

    1. sin 15 2. cos 75

    4.
    12
    7
    tan
    t

    application
    Find the exact value of the ff:
    application
    12 sin 72 cos 12 cos 72 sin
    35 sin 175 sin 35 cos 175 cos
    55 tan 80 tan 1
    55 tan 80 tan

    +
    Find the exact value of the ff:
    application
    If cos A= -3/5 and sin
    B= -12/13, where A is
    QIII
    and B is in QIV.
    Find the value of cos
    (A+B) and csc (A-B).

    Find the exact value of the ff:
    application











    Find the value of cos (A-B) and sin (A+B).

    3
    2
    sin = u
    3
    1
    cos = v
    t
    t
    < < u
    2
    t
    t
    < < v
    2
    Find the exact value of the ff:
    application









    Find the value of tan (A+B) and tan (A-B).

    25
    7
    sin = u
    5
    4
    cos = v
    t
    t
    < < u
    2
    t
    t
    2
    2
    3
    < < v
    synthesis
    Show that :
    u u
    t
    cos
    2
    sin =
    |
    .
    |

    \
    |

    My personal thoughts
    My WORTH
    My personal thoughts
    Less than one from now and
    you are about to graduate,
    what is your formula to be
    successful in this year level?
    Answer page 504 Written Math A
    nos. 1,3,5,7
    Do the ff:
    1. Find sin (A+B) and cos (A-B)
    3. Find cos (A+B) and sin (A-B)
    5. Find tan (A+B) and tan (A-B)
    7. Find cos (A-B) and sin (A-B)

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