Edexcel Paper 1 Specimen — Question 10

Exam BoardEdexcel
ModulePaper 1 (Paper 1)
SessionSpecimen
TopicDifferentiating Transcendental Functions

10. Given that \(\theta\) is measured in radians, prove, from first principles, that the derivative of \(\sin \theta\) is \(\cos \theta\) You may assume the formula for \(\sin ( A \pm B )\) and that as \(h \rightarrow 0 , \frac { \sin h } { h } \rightarrow 1\) and \(\frac { \cos h - 1 } { h } \rightarrow 0\)