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Grade 9 Exam  >  Grade 9 Tests  >  Important Question (1 Mark): Introduction to Trigonometry - Grade 9 MCQ

Important Question (1 Mark): Introduction to Trigonometry - Grade 9 MCQ


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25 Questions MCQ Test - Important Question (1 Mark): Introduction to Trigonometry

Important Question (1 Mark): Introduction to Trigonometry for Grade 9 2025 is part of Grade 9 preparation. The Important Question (1 Mark): Introduction to Trigonometry questions and answers have been prepared according to the Grade 9 exam syllabus.The Important Question (1 Mark): Introduction to Trigonometry MCQs are made for Grade 9 2025 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 course for Grade 9 & Important Question (1 Mark): Introduction to Trigonometry solutions in Hindi for Grade 9 course. Download more important topics, notes, lectures and mock test series for Grade 9 Exam by signing up for free. Attempt Important Question (1 Mark): Introduction to Trigonometry | 25 questions in 25 minutes | Mock test for Grade 9 preparation | Free important questions MCQ to study for Grade 9 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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