CBSE Worksheet for chapter- 9 Trigonometry class 10
Worksheet For class 10
Find CBSE Worksheet for chapter- 9 Trigonometry class 10
CLASS-10
BOARD: CBSE
Mathematic Worksheet - 9
TOPIC: Trigonometry
For other CBSE Worksheet for class 10 Mathematic check out main page of Physics Wallah.
SUMMARY
tan θ= sin θ/cosθ and cotθ =cosθ /sin θ
Trigonometric table:
Trigonometric Identities:
- sin2θ + cos2θ = 1
- 1 + tan2θ = sec2θ
- 1 + cot2θ = cosec2θ
Trigonometric ratios of complementary angles:
- Sin (900- θ) = cos θ
- cos (900- θ) = sin θ
- Tan (900- θ) = cot θ
- Cot (900- θ) = tan θ
- Sec (900- θ) = cosec θ
- Cosec (900- θ) = sec θ
OBJECTIVE
1. If 5tan θ = 4, then value of is : (5 sinθ-3 cosθ)/(5 sinθ+3 cosθ)
- 1/3
- 1/6
- 4/5
- 2/3
2. Given 3sin β + 5cos β = 5, then the value of (3cos β- 5sin β)2 is equal to:
- 9
- 9/5
- 1/3
- 1/9
3. If tan θ= 4, then (tanθ/(sin3 θ)/cosθ+sinθcosθ))is equal to:
- 0
- 2√2
- √2
- 1
4. As x increases from 0 to π/2 , the value of cos x :
- Increases
- decreases
- remains constant
- increases, then decreases
5. Value of x from the equation
x sin π/6 cos2 π/4 = (cot2 π/6 sec π/3 tan π/4)/(cosec2 π/4 cosec π/6) is :
- 4
- 6
- -2
- 0
6. The area of a triangle is 12 sq. cm. Two sides are 6 cm and 12 cm. The included angle is :
- cos-1(1/3)
- cos-1(1/6)
- cos-1(1/6)
- Sin-1(1/3)
7. If α + β = 900 and α = 2β, then cos2 + sin2β equals to:
- 1/2
- 0
- 1
- 2
SUBJECTIVE
-
If A + B = 900, prove that:
√(tanAtanB+tanAcotB)/sinAsecB-(sin2 B)/(cos2 A)=tanA - tanθ/(1-cotθ) +cotθ/(1-tanθ) = secθcosecθ+1
- (sinA+cosA)/(sinA-cosA)+ (sinA-cosA)/(sinA+cosA)= 2/(sin2 A-cos2 A)=2/(1-2cos2 A)
- ( sin8θ-cos8θ) = (sin2θ-cos2θ)(1-sin2 θcos2 θ)
- (tanθ+secθ-1)/(tanθ-secθ+1) =(1+sinθ)/cosθ
- If x = r sin θ cos φ, y = r sin θ sin φ, z = r cos θ, then prove that: x2+y2+z2=r2.
-
Prove that:
1/(secx-tanx)-1/cosx=1/cosx-1/(secx+tanx) - Evaluate: tan 70 tan 230 tan 600 tan 670 tan 830 + cot540 /tan 360 + sin 200 sec 700- 2
- Evaluate: cosec2580 - cot 580tan 320 - tan 130 tan 370 tan 450 tan 530 tan 770.
- If 5x = sec θ and = tanθ, find the value of 5 (x2-1/x2 ).
- Find the value of sec 600 geometrically.
- Prove the following: sin A(1 + tan A) + cos A(1 + cot A) = sec A + cosec A
Prove the following (Q 2 to Q5)
Answers:
Objective:
- b
- a
- d
- b
- b
- d
- a
Subjective:
- √3
- -1
- 2
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