Find the exact value of
`cot(-(5pi)/6)`. (2 marks)
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Show Worked Solution
| `cot(-(5pi)/6)` | `= 1/(tan(-(5pi)/6))` |
| `= 1/tan(pi/6)` | |
| `= 1/(1/sqrt3)` | |
| `= sqrt3` |
Trigonometry, 2ADV T2 EQ-Bank 18
Given `cot theta = −24/7` for `−pi/2 < theta < pi/2`, find the exact value of
- `sec theta` (2 marks)
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- `sin theta` (1 mark)
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a. `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`
b. `sintheta = −7/25`