Fp1 chapter 5 - the t-formulae
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| when t = tan(theta/2), sin(theta) | show 🗑
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| when t = tan(theta/2), cos(theta) | show 🗑
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| when t = tan(theta/2), tan(theta) | show 🗑
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| sine double angle formula | show 🗑
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| secant relationship with cosine | show 🗑
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| show | cos(2*theta) = cos^2(theta) - sin^2(theta)
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| show | cosec(theta) = 1/sin(theta)
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| tangent double angle formula | show 🗑
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| show | cot(theta) := tan(90-theta), cot(theta) = 1/tan(theta)
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| show | d/dx (sin(kx)) -> kcos(kx)
d/dx (cos(kx)) -> -ksin(kx)
d/dx (tan(kx)) -> ksec^2(kx)
d/dx (sec(kx)) -> ksec(kx)tan(kx)
d/dx (cosec(kx)) -> -cosec(kx)cot(kx)
d/dx (cot(kx)) -> -kcosec^2(kx)
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| show | 2t/(1+t^2)
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| when t = tan(theta/2), cos(theta) | show 🗑
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| show | 2t/(1-t^2)
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| sine double angle formula | show 🗑
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| secant relationship with cosine | show 🗑
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| cosine double angle formula | show 🗑
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| cosecant relationship with sine | show 🗑
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| show | tan(2*theta) = 2tan(theta)/(1-tan^2(theta))
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| show | cot(theta) := tan(90-theta), cot(theta) = 1/tan(theta)
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| show | d/dx (sin(kx)) -> kcos(kx)
d/dx (cos(kx)) -> -ksin(kx)
d/dx (tan(kx)) -> ksec^2(kx)
d/dx (sec(kx)) -> ksec(kx)tan(kx)
d/dx (cosec(kx)) -> -cosec(kx)cot(kx)
d/dx (cot(kx)) -> -kcosec^2(kx)
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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That cool NAMe
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