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Class 10 Maths Chapter 8 Assertion and Reason Questions - Introduction to Trigonometry

Q1:

Question for Assertion & Reason Type Questions: Introduction to Trigonometry
Try yourself: Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:

Assertion : The value of sin θ = 4/3 in not possible.

Reason : Hypotenuse is the largest side in any right angled triangle.

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Q2:

Question for Assertion & Reason Type Questions: Introduction to Trigonometry
Try yourself: Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:

Assertion: The value of sec210o - cot280o is 1

Reason: The value of sin 30o = 1/2

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Q3:

Question for Assertion & Reason Type Questions: Introduction to Trigonometry
Try yourself: Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:

Assertion : In a right angled triangle, if tanθ = 3/4, the greatest side of the triangle is 5 units.

Reason: (greatest side)2 = (hypotenuse)2 = (perpendicular)2 + (base) 2.

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Q4:

Question for Assertion & Reason Type Questions: Introduction to Trigonometry
Try yourself: Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:

Assertion : In a right angled triangle, if cosθ = 1/2 and sinθ = √3/2, then tanθ = √3

Reason: tanθ = sinθ/cosθ

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Q5:

Question for Assertion & Reason Type Questions: Introduction to Trigonometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): Cot A is the product of Cot and A.

Reason (R): The value of sinq increases as q increases.

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Q6:

Question for Assertion & Reason Type Questions: Introduction to Trigonometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): If tan A = cot B, then the value of (A + B) is 90°.

Reason (R): If sec θ sin θ = 0, then the value of q is 0°.

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Q7:

Question for Assertion & Reason Type Questions: Introduction to Trigonometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): If k + 1 = sec2 θ (1 + sin θ) (1 – sin θ), then the value of k is 1.

Reason (R): If sin θ + cos θ = √3 then the value of tan θ + cot θ is 1.

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Q8:

Question for Assertion & Reason Type Questions: Introduction to Trigonometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): If sin A = √3/2, then the value of 2 cot2 A - 1 is -1/3.

Reason (R): If q be an acute angle and 5 cosec q = 7, then the value of sin θ + cos2 θ – 1 is 10.

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Q9:

Question for Assertion & Reason Type Questions: Introduction to Trigonometry
Try yourself: Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:

Assertion : sin2 67o + cos2 67o = 1

Reason : For any value of θ, sin2θ + cos2θ = 1

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Q10:

Question for Assertion & Reason Type Questions: Introduction to Trigonometry
Try yourself: Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:

Assertion : sin 47° = cos 43°

Reason : sin θ = cos (90 + θ), where θ is an acute angle.

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Q11:

Question for Assertion & Reason Type Questions: Introduction to Trigonometry
Try yourself: Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:

Assertion : If cos A + cos2A = 1 then sin2A + sin4A = 2

Reason : 1 - sin2 A = cos2A, for any value of A.

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Q12:

Question for Assertion & Reason Type Questions: Introduction to Trigonometry
Try yourself: Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:

Assertion : The value of sinθcos (90 — θ) + cos θsin (90 — 0) equals to 1.

Reason : tanθ = sec (90 — θ)

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Q13:

Question for Assertion & Reason Type Questions: Introduction to Trigonometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): The value of tan47γ/cot43γ is 1.

Reason (R): The value of the expression (sin 80° – cos 80°) is negative.

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Q14:

Question for Assertion & Reason Type Questions: Introduction to Trigonometry
Try yourself: Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): If x = 2 sin2 θ and y = 2 cos2 θ + 1 then the value of x + y = 3.

Reason (R): If tan α = 5/12, then the value of sec α is 13/12.

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