Trigonometry Flashcards

1
Q

sin(𝐴 + 𝐵)

A

𝑠𝑖𝑛𝐴𝑐𝑜𝑠𝐵 + 𝑐𝑜𝑠𝐴𝑠𝑖𝑛𝐵

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2
Q

𝑠𝑖𝑛(𝐴 − 𝐵) ≡

A

𝑠𝑖𝑛𝐴𝑐𝑜𝑠𝐵 − 𝑐𝑜𝑠𝐴𝑠𝑖𝑛𝐵

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3
Q

cos(𝐴 + 𝐵)

A

𝑐𝑜𝑠𝐴𝑐𝑜𝑠𝐵 − 𝑠𝑖𝑛𝐴𝑠𝑖𝑛𝐵

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4
Q

𝑐𝑜𝑠(𝐴 − 𝐵)

A

𝑐𝑜𝑠𝐴𝑐𝑜𝑠𝐵 + 𝑠𝑖𝑛𝐴𝑠𝑖𝑛𝐵

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5
Q

tan(𝐴 + 𝐵)

A

𝑡𝑎𝑛𝐴 + 𝑡𝑎𝑛𝐵
___________
1 − 𝑡𝑎𝑛𝐴𝑡𝑎𝑛𝐵

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6
Q

tan(𝐴 − 𝐵) ≡

A

𝑡𝑎𝑛𝐴 − 𝑡𝑎𝑛𝐵
____________
1 + 𝑡𝑎𝑛𝐴𝑡𝑎𝑛𝐵

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7
Q

𝑠𝑖𝑛(2𝐴)

A

2𝑠𝑖𝑛𝐴𝑐𝑜𝑠𝐴

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8
Q

cos(2𝐴)

A

𝑐𝑜𝑠²𝐴 − 𝑠𝑖𝑛²𝐴
1 − 2𝑠𝑖𝑛²𝐴
2𝑐𝑜𝑠²𝐴 − 1

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9
Q

tan(2𝐴)

A

2𝑡𝑎𝑛𝐴
__________
1 − 𝑡𝑎𝑛²𝐴

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10
Q

1 + 𝑐𝑜𝑡²𝑥

A

𝑐𝑜𝑠𝑒𝑐²𝑥

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11
Q

1 + 𝑡𝑎𝑛²𝑥

A

𝑠𝑒𝑐²𝑥

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