Edexcel FP1 AS 2019 June — Question 1

Exam BoardEdexcel
ModuleFP1 AS (Further Pure 1 AS)
Year2019
SessionJune
TopicAddition & Double Angle Formulae

  1. (a) Write down the \(t\)-formula for \(\sin x\).
    (b) Use the answer to part (a)
    1. to find the exact value of \(\sin x\) when
    $$\tan \left( \frac { x } { 2 } \right) = \sqrt { 2 }$$
  2. to show that $$\cos x = \frac { 1 - t ^ { 2 } } { 1 + t ^ { 2 } }$$ (c) Use the \(t\)-formulae to solve for \(0 < \theta \leqslant 360 ^ { \circ }\) $$7 \sin \theta + 9 \cos \theta + 3 = 0$$ giving your answers to one decimal place.