| Exam Board | Edexcel |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Year | 2013 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Reciprocal Trig & Identities |
| Type | Given one function find others |
| Difficulty | Moderate -0.3 This is a straightforward application of reciprocal and Pythagorean identities. Part (a) is immediate (1/p), part (b) requires the identity sec²θ = 1 + tan²θ, and part (c) uses the complementary angle relationship tan(90°-θ) = cot(θ). All are standard bookwork with minimal problem-solving, making it slightly easier than average. |
| Spec | 1.05h Reciprocal trig functions: sec, cosec, cot definitions and graphs1.05j Trigonometric identities: tan=sin/cos and sin^2+cos^2=11.05l Double angle formulae: and compound angle formulae |
2. Given that $\tan 40 ^ { \circ } = p$, find in terms of $p$
\begin{enumerate}[label=(\alph*)]
\item $\cot 40 ^ { \circ }$
\item $\sec 40 ^ { \circ }$
\item $\tan 85 ^ { \circ }$
\end{enumerate}
\hfill \mbox{\textit{Edexcel C3 2013 Q2 [5]}}