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TEST-2 Trigonometric Functions (Chapter 3) : SECTION-A (1 5) Parents Sign-Max Marks - 37 Marks Obtained

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TEST-2

TRIGONOMETRIC FUNCTIONS(CHAPTER 3)
SECTION-A(1*5)

Parents sign- Max marks- 37

Marks obtained-

1. If tanA = √3, then what is tan2A?


2. Find the value of cos 55°+ cos 125° + cos 300°.
3. Find the value of sin 150° + cos 300°.
4. Express 2cos4x.sin2x as an algebraic sum of sines and cosines.
31π
5. Find the value of sin 3
.
SECTION-B(2*10)
2
1. Solve 2cos x + 3sinx=0.
cos 29°−sin 29°
2. Prove that cos 29°+sin 29° = cot 74°.
3. If cot2A= tan(n-2)A , then what is A?
4. The minute hand of a clock is 70 cm long. How many centimetres does its tip move in 6
minutes?
5. A horse is tied to a part by a rope. If the horse moves along a circular path always keeping the
rope tight and describes 88m when it has traced out 72° at the centre, find the length of the
rope.
6. Solve
sin2θ + sin4θ + sin6θ = 0.
sinθ+sin3θ+sin5θ+sin7θ
7. Prove cosθ+cos3θ+cos5θ+cos7θ =tan4θ.
8. Show that tan3x.tan2x.tanx = tan3x-tan2x-tanx.
x+y
9. Prove that (cosx + cos y)2 + (sinx − siny)2 = 4cos 2 ( 2
).
1 7
10. If sinx.cosy= 4 and 3tanx = 4tany then prove that sin(x+y) = 16.
SECTION-C(3*4)

sec8θ−1 tan8θ
1. Prove that sec4θ−1 = tan2θ.
2. Show that sin 4A= 4sinA.cos 3 A − 4cosAsin3 A.
3. Prove sin2 6x − sin2 4x = sin2x.sin10x.
1 3π −5 π
4. Find the value of tan(α + β) given that cot𝛼 = , α ϵ (π , ) and secβ = , βϵ( , π)
2 2 3 2

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