The angle lies between 0 and 90 and is such that 2 tan 2 sec 2 5 4tan i Show that 3tan 2 4tan 4 0 and hence find the exact value of tan ii It is given that the angle is such that cot( ) 6 Without using a calculator, find the exact value of cot ...

i Starting from the given equation 2 tan2 sec2 5 4 tan We can substitute sec2 1 tan2 to get 2 tan2 1 ...

The angle lies between 0 and 90 and is such that 2 tan 2 +

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The angle α lies between 0° and 90° and is such that 2 tan²α + sec²α = 5 − 4tan α.

i. Show that 3tan²α + 4tan α − 4 = 0 and hence find the exact value of tan α.
ii. It is given that the angle θ is such that cot(α + β) = 6. Without using a calculator, find the exact value of cot β.

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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 07:16 AM

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The angle lies between 0 and 90 and is such that 2 tan 2 +

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i Starting from the given equation 2 tan2 sec2 5 4 tan We can substitute sec2 1 tan2 to get 2 tan2 1 ...View the full answer

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

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