i) Show that the equation 2 sin x cos x 1 can be written as a quadratic equation in cos x ii) Solve the equation 2 sin x cos x 1 for 0 x 180 iii) Hence solve the equation for 0 x 180 2 sin 20 cos X 2 1...

i Using the identity sin x cos x 1 we can rearrange the given equation as 21 cos x cos x 1 Expanding ...

i) Show that the equation 2 sin x cos x = 1 can be written as

Question:

i) Show that the equation 2 sin² x − cos x = 1 can be written as a quadratic equation in cos x.

ii) Solve the equation 2 sin² x − cos x = 1 for 0° ≤ x ≤ 180°.

iii) Hence solve the equation

for 0° ≤ x ≤ 180°.

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Complete Pure Mathematics 1 For Cambridge International AS & A Level

ISBN: 9780198427438

2nd Edition

Authors: Jean Linsky, Brian Western, James Nicholson

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Question Posted: Apr 13, 2023 10:58 AM

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i) Show that the equation 2 sin x cos x = 1 can be written as

Question:

2 sin² 20 cos X 2 = 1

Step by Step Answer:

i Using the identity sin x cos x 1 we can rearrange the given equation as 21 cos x cos x 1 Expanding ...View the full answer

Complete Pure Mathematics 1 For Cambridge International AS & A Level

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