Without using a calculator, find the exact value of each of the following: a. sin20 cos 70

Question:

Without using a calculator, find the exact value of each of the following:

a. sin20° cos 70° + cos 20° sin70°

b. sin172° cos 37° − cos172° sin37°

c. cos 25° cos 35° − sin25° sin35°

d. cos 99° cos 69° + sin99° sin69°

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Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

ISBN: 9781108407199

1st Edition

Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey

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Question Posted: Mar 14, 2023 07:18 AM

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Without using a calculator, find the exact value of each of the following: a. sin20 cos 70

Question:

tan 25° + tan 20⁰ 1-tan 25° tan 20⁰

Step by Step Answer:

ANSWER a Using the identity sinAB sinAcosB cosAsinB we have sin20 cos70 cos20 sin70 sin20 70 sin90 1 ...View the full answer

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

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