C2 Trigonometry: Trigonometric Identities PhysicsAndMathsTutor

C2 Trigonometry: Trigonometric Identities



1. Solve, for 0 < < 360?, giving your answers to 1 decimal place where appropriate,

(a) 2 sin = 3 cos ,

(3)

(b) 2 ? cos = 2 sin2 .

(6) (Total 9 marks)

2. Solve, for ?90? < x < 90?, giving answers to 1 decimal place, (a) tan (3x + 20?) = 3 , 2

(b) 2 sin2 x + cos2 x = 10 . 9

(6)

(4) (Total 10 marks)

3. Solve, for 0 < 2, the equation sin2 = 1 + cos ,

giving your answers in terms of .

(Total 5 marks)

4. (a) Show that the equation

5 cos2 x = 3(1 + sin x)

can be written as 5 sin2 x + 3 sin x ? 2 = 0.

(2)

Edexcel Internal Review

1

C2 Trigonometry: Trigonometric Identities



(b) Hence solve, for 0 x < 360?, the equation 5 cos2 x = 3(1 + sin x),

giving your answers to 1 decimal place where appropriate.

(5) (Total 7 marks)

5.

(i)

Prove that tan + cot 2 cosec 2,

n , n Z 2

.

(ii)

Given that sin =

5,

0 ................
................

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