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Commerce Exam  >  Commerce Tests  >  Mathematics (Maths) Class 11  >  Test: Solution of Triangles- Sine & Cosine Laws - Commerce MCQ

Test: Solution of Triangles- Sine & Cosine Laws - Commerce MCQ


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10 Questions MCQ Test Mathematics (Maths) Class 11 - Test: Solution of Triangles- Sine & Cosine Laws

Test: Solution of Triangles- Sine & Cosine Laws for Commerce 2024 is part of Mathematics (Maths) Class 11 preparation. The Test: Solution of Triangles- Sine & Cosine Laws questions and answers have been prepared according to the Commerce exam syllabus.The Test: Solution of Triangles- Sine & Cosine Laws MCQs are made for Commerce 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Solution of Triangles- Sine & Cosine Laws below.
Solutions of Test: Solution of Triangles- Sine & Cosine Laws questions in English are available as part of our Mathematics (Maths) Class 11 for Commerce & Test: Solution of Triangles- Sine & Cosine Laws solutions in Hindi for Mathematics (Maths) Class 11 course. Download more important topics, notes, lectures and mock test series for Commerce Exam by signing up for free. Attempt Test: Solution of Triangles- Sine & Cosine Laws | 10 questions in 10 minutes | Mock test for Commerce preparation | Free important questions MCQ to study Mathematics (Maths) Class 11 for Commerce Exam | Download free PDF with solutions
Test: Solution of Triangles- Sine & Cosine Laws - Question 1
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In the given figure,as per law of cosine which is the correct formula for a2

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Test: Solution of Triangles- Sine & Cosine Laws - Question 2
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In the given figure, X will be

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Test: Solution of Triangles- Sine & Cosine Laws - Question 3
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Law of cosineis applicable if we know All three sides of triangle two angle and sides included All three angles All three sides of triangle two angle and sides included All three angles

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The Law of Cosines is used to find the remaining parts of an oblique (non-right) triangle when either the lengths of two sides and the measure of the included angle is known (SAS) or the lengths of the three sides (SSS) are known.

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Law of cosine can be applied to
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Laws are trigonometry can be applied to all type of triangles. These rules are generalised.

Test: Solution of Triangles- Sine & Cosine Laws - Question 5
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Find angle A in the following figure
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As we know that, cosA = (b2 + c2 - a2)/2bc
a = 6, b=4, c=8
cosA = (16+64-36)/2(4)(8)
44/64 
= 0.687
A = cos-1(0.687)
which is approx equals to 46°36’2″

Test: Solution of Triangles- Sine & Cosine Laws - Question 6
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What is the length of side c 
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a = 4, b = 5
angle c = 60o
cos c = (a2 + b2 - c2)/2ab
= 1/2 = (16 + 25 - c2)/40
⇒ 20 = 41 - c2
c2 = 21
⇒ c = (21)1/2
⇒ c = 4.58

Test: Solution of Triangles- Sine & Cosine Laws - Question 7
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What is the length of side b.
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a = 5, c = 3
angle c = 60o
cos b = (a2 + c2 - b2)/2ca
= 1/2 = (25 + 9 - b2)/30
=> 15 = 34 - b2
=> b2 = 19
=> b = (19)1/2
=> b = 4.35

Test: Solution of Triangles- Sine & Cosine Laws - Question 8
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2(bc cos A+ ca cos B + ab cos C) =
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Test: Solution of Triangles- Sine & Cosine Laws - Question 9
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Test: Solution of Triangles- Sine & Cosine Laws - Question 10
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Two ships A and B, lies 33 m apart on the sea surface. There is submarine ‘C’ on the sea bed. The angle of depression of C from A is 600 and the distance AC is 40 m. Calculate the distance BC.
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