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LFM Pure
Addition & Double Angle Formulae
Q1
Edexcel FP1 AS 2019 June — Question 1
Exam Board
Edexcel
Module
FP1 AS (Further Pure 1 AS)
Year
2019
Session
June
Topic
Addition & Double Angle Formulae
(a) Write down the \(t\)-formula for \(\sin x\).
(b) Use the answer to part (a)
to find the exact value of \(\sin x\) when
$$\tan \left( \frac { x } { 2 } \right) = \sqrt { 2 }$$
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.
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