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Version 1.0 AQA Level 2 Certificate in Further Mathematics 8360 Worksheet 4 Trigonometry Work Sheet Further copies of this Feedback are available to download from the AQA Website: www.aqa.org.uk Copyright © 2012 AQA and its licensors. All rights reserved. COPYRIGHT AQA retains the copyright on all its publications. However, registered centres for AQA are permitted to copy material from this booklet for their own internal use, with the following important exception: AQA cannot give permission to centres to photocopy any material that is acknowledged to a third party even for internal use within the centre. Set and published by the Assessment and Qualifications Alliance. The Assessment and Qualifications Alliance (AQA) is a company limited by guarantee registered in England and Wales (company number 3644723) and a registered charity (registered charity number 1073334). Registered address: AQA, Devas Street, Manchester M15 6EX Level 2 Certificate in Further Mathematics: Worksheet 4 Trigonometry Question 1 (non-calculator) Work out the exact value of sin 60 + sin 120 + sin 270. Give your answer in its simplest form. (3 marks) Question 2 (non-calculator) Are these statements true or false? True False sin 37 = sin 127 cos 54 = cos 306 sin 135 = cos 135 tan 126 = tan 306 (4 marks) Question 3 (non-calculator) Work out the area of triangle ABC. Write your answer in its simplest form. Not drawn accurately C 45 6 2 5 cm B A (3 marks) 3 Level 2 Certificate in Further Mathematics: Worksheet 4 Trigonometry Question 4 (calculator or non-calculator) Show that tan 2 1 1 cos2 θ (3 marks) Question 5 (calculator) AC is a diameter of the circle. AC = 5 cm, AD = 4 cm Not drawn accurately D A C B Work out angle ABD. (4 marks) 4 Level 2 Certificate in Further Mathematics: Worksheet 4 Trigonometry Question 6 (calculator) A hanging basket is made from a hemisphere and three chains. The radius of the hemisphere is 10 cm. Each chain is 30 cm long. The chains are equally spaced around the rim of the hemisphere. Work out angle AOB. O A B (5 marks) Question 7 (calculator) Solve the following equation for 0 360. tan 2 = 2 (4 marks) Question 8 (calculator) Solve the following equation for 0 360. 3cos 2 + 2cos 1 = 0 (5 marks) 5