| Exam Board | WJEC |
|---|---|
| Module | Unit 3 (Unit 3) |
| Year | 2022 |
| Session | June |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Standard trigonometric equations |
| Type | Convert to quadratic in tan |
| Difficulty | Standard +0.3 This is a standard trigonometric equation requiring the identity sec²x = 1 + tan²x to convert to a quadratic in tan x, then solving the resulting quadratic and finding angles in the given range. It's slightly easier than average as it's a routine textbook exercise with a clear method and no conceptual surprises. |
| Spec | 1.05h Reciprocal trig functions: sec, cosec, cot definitions and graphs1.05j Trigonometric identities: tan=sin/cos and sin^2+cos^2=11.05o Trigonometric equations: solve in given intervals |
| Answer | Marks |
|---|---|
| 1 | 0 |
| 1 | 1 |
| 1 | 2 |
| 1 | 3 |
| 1 | 4 |
| 1 | 5 |
| 1 | 6 |
| 1 | 7 |
| 1 | 8 |
Question 1:
1 | 0
1 | 1
1 | 2
1 | 3
1 | 4
1 | 5
1 | 6
1 | 7
1 | 8Solve the equation
$$6 \sec ^ { 2 } x - 8 = \tan x$$
for $0 ^ { \circ } \leqslant x \leqslant 360 ^ { \circ }$.
\hfill \mbox{\textit{WJEC Unit 3 2022 Q1}}