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QUESTION ONE 1. Solve the following equations for values of between 0 and 360 (1) 3 cos 0=cot 0 (b) Cos¹0 (c) 2 cos¹ 0-3 cos 0+1=0 (d) 2 tano +3=sec² a

QUESTION ONE 1. Solve the following equations for values of between 0 and 360 (1) 3 cos 0=cot 0 (b) Cos¹0 (c) 2 cos¹ 0-3 cos 0+1=0 (d) 2 tano +3=sec² a

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.6: Permutations
Problem 14E
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13:58 <BS 140 ASS TWO QUESTION ONE 1. Solve the following equations for values of o between 0 and 360 (a) 3 cos cot 0 = (b) Cox²0 (c) 2 cos²¹ 8-3 cos @+1=0 (d) 2 tano+3= sec² a 2. Prove the following trigonometry identities (a) Cot+tan 8 = cosec 8 sec (b) Show that+2²8 QUESTION TWO (c) Prove that tan² = sin² 0(1+tan²0 (d) Solve cosec -1.58 and 4 cot 0=tan 8, for 0So≤ 360° QUESTION THREE 3. Differentiate w.rt x (b) X²-x² (c) (2x-3) (d) (e) ax² +2bx²-ex+7 (f) find the coordinates of the points on the curve y=x²-3x²-9x + 6 where the gradient is 0 (g) differentiate W.LIX (h) find given that y = (x²-3x+1)^ 5. Integrate w..x (a) X¹ (b) 2x¹ (c) 4x (d) 7 Page 1 of 4 QUESTION FOUR 4. Two numbers x and y are connected by the relation x+y=6. Find the values of x and y which give a stationary point of the function T = 2x² + 3y² and determine whether they make T a maximum or minimum. QUESTION FIVE (c) // ||| 6. Differentiate the following (a) Y=3e (b) Y= 38 (c) Y = In 2x (d) Y=3 in 4x (e) Y=2 cos 3x (0) Y=3x-2x²+5x-2 QUESTION SIX all 65% i - U
Transcribed Image Text:13:58 <BS 140 ASS TWO QUESTION ONE 1. Solve the following equations for values of o between 0 and 360 (a) 3 cos cot 0 = (b) Cox²0 (c) 2 cos²¹ 8-3 cos @+1=0 (d) 2 tano+3= sec² a 2. Prove the following trigonometry identities (a) Cot+tan 8 = cosec 8 sec (b) Show that+2²8 QUESTION TWO (c) Prove that tan² = sin² 0(1+tan²0 (d) Solve cosec -1.58 and 4 cot 0=tan 8, for 0So≤ 360° QUESTION THREE 3. Differentiate w.rt x (b) X²-x² (c) (2x-3) (d) (e) ax² +2bx²-ex+7 (f) find the coordinates of the points on the curve y=x²-3x²-9x + 6 where the gradient is 0 (g) differentiate W.LIX (h) find given that y = (x²-3x+1)^ 5. Integrate w..x (a) X¹ (b) 2x¹ (c) 4x (d) 7 Page 1 of 4 QUESTION FOUR 4. Two numbers x and y are connected by the relation x+y=6. Find the values of x and y which give a stationary point of the function T = 2x² + 3y² and determine whether they make T a maximum or minimum. QUESTION FIVE (c) // ||| 6. Differentiate the following (a) Y=3e (b) Y= 38 (c) Y = In 2x (d) Y=3 in 4x (e) Y=2 cos 3x (0) Y=3x-2x²+5x-2 QUESTION SIX all 65% i - U
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