(a) Given that sin²+ cos²0= 1, show that 1 + tan²0= sec²0. (b) Solve, for 0≤ 0< 360°, the equation 2 tan 0+ sec 0 = 1, giving your answers to decimal place. 11. (a) Using the identity cos(A + B) = cosA cosB - sinA sinB, prove that cos 24 = 1-2 sin² A. 10.
(a) Given that sin²+ cos²0= 1, show that 1 + tan²0= sec²0. (b) Solve, for 0≤ 0< 360°, the equation 2 tan 0+ sec 0 = 1, giving your answers to decimal place. 11. (a) Using the identity cos(A + B) = cosA cosB - sinA sinB, prove that cos 24 = 1-2 sin² A. 10.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Given that sin²0+ cos²0= 1, show that 1 + tan²0= sec²0.
Solve, for 0≤0< 360°, the equation
2 tan²0 + sec 0 = 1,
giving your answers to decimal place.
11.
(a) Using the identity cos(A + B) = cosA cosB - sinA sinB, prove that
cos 24 = 1-2 sin² A.
10.
(a)
(b)
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