| Exam Board | SPS |
|---|---|
| Module | SPS SM (SPS SM) |
| Year | 2021 |
| Session | January |
| Marks | 5 |
| Topic | Standard trigonometric equations |
| Type | Transformed argument solving |
| Difficulty | Moderate -0.8 This is a straightforward single-step trig equation requiring recognition of a standard angle value (tan 105° = -2-√3) and simple algebraic manipulation to solve for y. The restricted range adds minimal complexity. Easier than average as it's purely procedural with no problem-solving required. |
| Spec | 1.05g Exact trigonometric values: for standard angles1.05o Trigonometric equations: solve in given intervals |
6.
Solve the following trigonometric equation in the range given.
$$\tan ( 5 y - 35 ) ^ { \circ } = - 2 - \sqrt { 3 } , \quad 0 \leq y < 90$$
\hfill \mbox{\textit{SPS SPS SM 2021 Q6 [5]}}