Find the exact value of
`cot(-(5pi)/6)`. (2 marks)
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| `cot(-(5pi)/6)` | `= 1/(tan(-(5pi)/6))` |
| `= 1/tan(pi/6)` | |
| `= 1/(1/sqrt3)` | |
| `= sqrt3` |
Trigonometry, 2ADV T2 SM-Bank 31
Given `cottheta = −24/7` for `−pi/2 < theta < pi/2`, find the exact value of
- `sectheta` (2 marks)
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- `sintheta` (1 mark)
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i. `cot theta = −24/7\ \ =>\ \ tan theta=– 7/24`
`text(Graphically, given)\ −pi/2 < theta < pi/2:`
`x= sqrt(24^2 + 7^2)=25`
| `sectheta` | `= 1/(costheta)` |
| `= 1/(24/25)` | |
| `= 25/24` |
ii. `sintheta = −7/25`