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This mock test of Introduction To Trigonometry - Olympiad Level MCQ, Class 10 Mathematics for Class 10 helps you for every Class 10 entrance exam.
This contains 25 Multiple Choice Questions for Class 10 Introduction To Trigonometry - Olympiad Level MCQ, Class 10 Mathematics (mcq) to study with solutions a complete question bank.
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QUESTION: 1

Which of the following is correct some θ such that 0° ≤ θ < 90°

Solution:

QUESTION: 2

The sides of a right angled triangle form a geometric progression, find the cosines of the acute angles. (If a,b,c are in G.P. ⇒ b^{2}= ac)

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QUESTION: 3

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QUESTION: 4

cot 36° cot 72° is equal to :

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QUESTION: 5

The value of cos^{2} 15° – cos^{2} 30° + cos^{2} 45° – cos^{2} 60° + cos^{2} 75° is :

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QUESTION: 6

If x = sin^{2} θ cos θ and y = cos^{2} θ sin θ, then :

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QUESTION: 7

If x = secθ – tanθ and y = cosecθ + cotθ, then xy + 1 is equal to :

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QUESTION: 8

If 5 sinθ = 3, then secθ tanθ /secθ – tanθ is equal to :

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QUESTION: 9

The value of the expression

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QUESTION: 10

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QUESTION: 11

Given that sin A=1/2 and cos B=1/√2 then the value of (A + B) is:

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QUESTION: 12

If m = tanθ + sinθ and n = tanθ – sinθ, then (m^{2} – n^{2})^{2} is equal to :

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QUESTION: 13

If x = a cos θ + b sin θ and y = a sin θ – b cos θ then a^{2} + b^{2} is equal to :

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QUESTION: 14

If cosθ + sinθ + 1 = 0 and sinθ – cosθ – 1 = 0 then + is equal to :

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QUESTION: 15

ABC is a triangle, right angled at A. If the length of hypotenuse is 2 √2 times the length of perpendicular from A on the hypotenuse, the other angles of the triangle are :

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QUESTION: 16

If sin A + cos A = m and sin^{3}A + cos^{3}A = n, then

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QUESTION: 17

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QUESTION: 18

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QUESTION: 19

The quadratic equation whose roots are sin 18° and cos 36° is :

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QUESTION: 20

If cosθ + sectθ = 2, then the value of cos^{2}θ + sec^{2}θ is :

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QUESTION: 21

If sin (A – B) = cos (A + B) =1/2, then the values of A and B lying between 0° and 90° are respectively:

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QUESTION: 22

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QUESTION: 23

If m^{2} + m'^{2} + 2mm' cosθ = 1, n^{2} + n'^{2} + 2nn' cos θ = 1, and mn + m'n' + (mn' + m'n) cos θ = 0, then m^{2} + n^{2} is equal to :

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QUESTION: 24

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QUESTION: 25

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