Trigonometry questions | form five Pure Advanced Mathematics

Find Trigonometry examination questions, form five Pure Advanced Mathematics in acaproso.com

#	Question
1	Express the sum of $small sec x$ and $small an x$ as the tangent of $small left ( frac{pi}{4} +frac{x}{2} ight )$ and hence find in surd form the value of $small an frac{pi}{12}$ . Mathematical Calculation
2	Evaluate $an (cos ^{-1}(frac{1}{2}))$ without using calculators or tables Mathematical Calculation
3	Prove that $sin 2 heta=frac{2 an heta}{1+ an^{2} heta}$ Mathematical Calculation
4	Use trigonometric identities to prove that $small 16sin ^{5} heta -21 sin ^{3} heta+5 sin heta=sin 5 heta$ Mathematical Calculation
5	If the $small Xsec heta+Y an heta=3$ and $small X an heta+ Ysec heta =2$ , eliminate $small heta$ from the equations. Mathematical Calculation
6	If $small an heta =frac{4}{3}$ and $small 0degreeleq heta leq 360degree$ find without using tables the value of $small an (frac{1}{2} heta)$ Mathematical Calculation
7	Show that $small frac{cos 3x-cos 5x}{4sin 2x cos 2x}=sin x$ . Mathematical Calculation
8	Given that $small tan^{-1}A + tan^{-1}B+tan^{-1}C=pi$ verify that A+B+C=ABC Mathematical Calculation
9	FInd the value of angle A in triangle ABC which is such that a=10, b= 12 and c=9 Mathematical Calculation
10	Simplify $sin ^{-1}(cos x)$ Mathematical Calculation