Trigo Problem Sheet-1

B 2 4 6 1 cos cos 7 7 7 2 sin 2 sin sin 2 1

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Unformatted text preview: x + 12 sin x 16. Express 5 cos x + 12 sin x in the form R cos (x − α), where tan α = Note: a sin θ + b cos θ = R cos (θ − α) , where R = 17. Prove that cos √ a2 + b2 and tan α = a . b 2π 4π 6π 1 + cos + cos =− . 7 7 7 2 sin θ 2 sin θ + sin 2θ = . 1 − cos 2θ 1 − cos θ 18. Prove that 19. The range of a projectile on an inclined plane is given by the formula R= 2u2 sin(θ − α) cos θ , g cos2 α where u is the speed of projection, θ is the angle of elevation of projection, α is the angle of elevation of the...
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This note was uploaded on 03/26/2013 for the course SENG 1 taught by Professor Mf during the Spring '13 term at UCL.

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