Q1:
Assertion : The value of sin θ = 4/3 in not possible.
Reason : Hypotenuse is the largest side in any right angled triangle.
Q2:
Assertion: The value of sec^{2}10^{o}  cot^{2}80^{o} is 1
Reason: The value of sin 30^{o} = 1/2
Q3:
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}.
Q4:
Assertion : In a right angled triangle, if cosθ = 1/2 and sinθ = √3/2, then tanθ = √3
Reason: tanθ = sinθ/cosθ
Q5:
Assertion (A): Cot A is the product of Cot and A.
Reason (R): The value of sinq increases as q increases.
Q6:
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°.
Q7:
Assertion (A): If k + 1 = sec^{2} 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.
Q8:
Assertion (A): If sin A = √3/2, then the value of 2 cot^{2} A  1 is 1/3.
Reason (R): If q be an acute angle and 5 cosec q = 7, then the value of sin θ + cos^{2} θ – 1 is 10.
Q9:
Assertion : sin^{2} 67^{o} + cos^{2} 67^{o} = 1
Reason : For any value of θ, sin^{2}θ + cos^{2}θ = 1
Q10:
Assertion : sin 47° = cos 43°
Reason : sin θ = cos (90 + θ), where θ is an acute angle.
Q11:
Assertion : If cos A + cos^{2}A = 1 then sin^{2}A + sin^{4}A = 2
Reason : 1  sin^{2} A = cos^{2}A, for any value of A.
Q12:
Assertion : The value of sinθcos (90 — θ) + cos θsin (90 — 0) equals to 1.
Reason : tanθ = sec (90 — θ)
Q13:
Assertion (A): The value of tan47γ/cot43γ is 1.
Reason (R): The value of the expression (sin 80° – cos 80°) is negative.
Q14:
Assertion (A): If x = 2 sin^{2} θ and y = 2 cos^{2} 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.
124 videos457 docs77 tests


Explore Courses for Class 10 exam
