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Important Question (1 Mark): Introduction to Trigonometry - Class 10 MCQ


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25 Questions MCQ Test Online MCQ Tests for Class 10 - Important Question (1 Mark): Introduction to Trigonometry

Important Question (1 Mark): Introduction to Trigonometry for Class 10 2024 is part of Online MCQ Tests for Class 10 preparation. The Important Question (1 Mark): Introduction to Trigonometry questions and answers have been prepared according to the Class 10 exam syllabus.The Important Question (1 Mark): Introduction to Trigonometry MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Important Question (1 Mark): Introduction to Trigonometry below.
Solutions of Important Question (1 Mark): Introduction to Trigonometry questions in English are available as part of our Online MCQ Tests for Class 10 for Class 10 & Important Question (1 Mark): Introduction to Trigonometry solutions in Hindi for Online MCQ Tests for Class 10 course. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free. Attempt Important Question (1 Mark): Introduction to Trigonometry | 25 questions in 25 minutes | Mock test for Class 10 preparation | Free important questions MCQ to study Online MCQ Tests for Class 10 for Class 10 Exam | Download free PDF with solutions
Important Question (1 Mark): Introduction to Trigonometry - Question 1
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If sin θ = 5/13 then cos θ =

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Important Question (1 Mark): Introduction to Trigonometry - Question 2
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Which of the following is true:

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Trigonometric ratio  is correct.

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Important Question (1 Mark): Introduction to Trigonometry - Question 3
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If √3tanθ = 3sinθ, then the value of sin2θ−cos2θ is

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Important Question (1 Mark): Introduction to Trigonometry - Question 4
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Important Question (1 Mark): Introduction to Trigonometry - Question 5
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If sec A + tan A = m and sec A – tan A = n, then the value of mn is
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Important Question (1 Mark): Introduction to Trigonometry - Question 6
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If 4tan θ = 3, 
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Important Question (1 Mark): Introduction to Trigonometry - Question 7
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cot A tan A =
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Important Question (1 Mark): Introduction to Trigonometry - Question 8
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If sin θ − cos θ = 0, vthen the value of θ is
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Important Question (1 Mark): Introduction to Trigonometry - Question 9
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If tan θ = √3, the sec θ =
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Important Question (1 Mark): Introduction to Trigonometry - Question 10
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Given that sin A=1/2 and cos B=1/√2 then the value of (A + B) is:
Important Question (1 Mark): Introduction to Trigonometry - Question 11
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If cot θ = 7/8, then the value of (1 + sin θ)(1 - sin θ) / (1 + cos θ)(1 - cos θ)
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We will use the basic concepts of trigonometric ratios to solve the problem.

Consider ΔABC as shown below where angle B is a right angle.

cot θ = side adjacent to θ / side opposite to θ = AB/BC = 7/8

Let AB = 7k and BC = 8k, where k is a positive integer.

By applying Pythagoras theorem in Δ ABC, we get

AC2 = AB2 + BC2

= (7k)2 + (8k)2

= 49k2 + 64k2

= 113k2

AC = √113k2

= √113k

Therefore, sin θ = side opposite to θ / hypotenuse = BC/AC = 8k/√113k = 8/√113

cos θ = side adjacent to θ / hypotenuse = AB/AC = 7k/√113k = 7/√113

(i) (1 + sin θ) (1 - sin θ) / (1 + cos θ) (1 - cos θ) = 1 - sin2θ / 1 - cos2θ  [Since, (a + b)(a - b) = (a2 - b2)]

= [1 - (8/√113)2] / [1 - (7/√113)2]

= (1 - 64/113) / (1 - 49/113)

= (49/113) / (64/113)

= 49/64

Important Question (1 Mark): Introduction to Trigonometry - Question 12
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Given that sinθ = a/b then cos θ is equal to
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Important Question (1 Mark): Introduction to Trigonometry - Question 13
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The value of  
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Important Question (1 Mark): Introduction to Trigonometry - Question 14
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If (α + β) = 90°, then the value of  
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Important Question (1 Mark): Introduction to Trigonometry - Question 15
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Important Question (1 Mark): Introduction to Trigonometry - Question 16
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In right triangle ABC, right angled at C, if tan A = 1, then the value of 2 sin A cos A is
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Important Question (1 Mark): Introduction to Trigonometry - Question 17
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The value of sin60∘cos30∘ + sin30∘cos60∘ is
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Important Question (1 Mark): Introduction to Trigonometry - Question 18
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If sin θ − cos θ = 0, then the value of sin4θ + cos4θ is
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Important Question (1 Mark): Introduction to Trigonometry - Question 19
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Important Question (1 Mark): Introduction to Trigonometry - Question 20
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If x = a cos θ and y = b sin θ, then the value of b2x2 + a2y2 is
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Important Question (1 Mark): Introduction to Trigonometry - Question 21
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If tan θ = 20/21, then 
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Important Question (1 Mark): Introduction to Trigonometry - Question 22
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The value of 2 tan245∘+ cos230∘ − sin260∘ is
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Important Question (1 Mark): Introduction to Trigonometry - Question 23
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The value of tan 1∘ tan 2∘ tan 3∘………… tan 89∘ is
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tan 1° tan2° tan3° ..............tan 89°
= tan(90° -  89°) tan(90° - 88°) tan(90° -  87°) .........  tan 87° tan 88° tan 89°
= cot 89° cot 88° cot 87° .............tan 87° tan 88° tan 89°
= (cot 89° tan 89°) (cot 88° tan 88°) (cot 87° tan 87°) .............(cot 44° tan 44°) tan 45°
= 1x1x1x1x1.........1 = 1 

Important Question (1 Mark): Introduction to Trigonometry - Question 24
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(sec2θ - 1) (1 - cosec2θ) =
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Important Question (1 Mark): Introduction to Trigonometry - Question 25
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If x = a sec θ cos φ, y = b sec θ sin φ and z = c tan θ, then the value of 
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Given: x = a sec θ cos φ, y = b sec θ sin φ and z = c tan θ

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