In this article, the engineering section of Jagranjosh brings chapter notes of chapter Trigonometric Functions including detailed information about all important topics like definition of angle, relation between degree and radian, trigonometric identities (reciprocal, quotient, even/odd, Pythagorean, co-function etc), law of sines, law of cosines, formula of area of triangles etc.
These notes are prepared by experienced Subject Experts after the detailed analysis of the latest syllabus and previous year papers of WBJEE examination.
In these notes, all important concepts, formulae and some previous year solved questions are also included which will help WBJEE aspirants to understand the difficulty level of the questions which can be asked in coming WBJEE examination.
About the Exam:
West Bengal Joint Entrance Examination (WBJEE) is a state level common entrance test organized by West Bengal Joint Entrance Examinations Board for admission to the Undergraduate Level Engineering and Medical Courses through a common entrance test in the State of West Bengal.
WBJEE: Important Questions and Preparation Tips – Hyperbola
Important Concepts:
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Some previous year solved questions are given below:
Question 1:
Solution 1:
Hence, the correct option is (A).
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Question 2:
Solution 2:
Hence, the correct option is (C).
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Question 3:
In a ΔABC, tanA and tanB are the roots of pq(x2 + 1) = r2x. Then ΔABC is
(A) a right angled triangle
(B) an acute angled triangle
(C) an obtuse angled triangle
(D) an equilateral triangle
Solution 3:
We have equation, pq(x2 + 1) = r2x.
So, pqx2 – r2x + pq = 0
tanA and tanB are the roots of the above equation
Product of roots = tanA. tanB = pq/pq = 1
tanA tanB = 1
So, tan(A+B) is undefined
=> ∠C = π / 2
So, ABC is right angled triangle.
Hence, the correct option is (A).
WBJEE: Important Questions and Preparation Tips – Sequence and Series
Question 4:
Solution 4:
Hence, the correct option is (b).
WBJEE: Important Questions and Preparation Tips – Relations and Functions
Question 5:
In a ΔABC, a,b,c are the side of the triangle opposite to the angles A,B,C respectively. Then the value of a3sin(B–C) + b3 sin(C–A) + c3sin(A–B) is equal to
(A) 0
(B) 1
(C) 3
(D) 2
Solution 5:
By using sine law and 3A formula, the value of
a3sin(B–C) + b3 sin(C–A) + c3sin(A–B) = 0
Hence, the correct option is (A).
WBJEE 2018: Notification, Application, Dates, Eligibility, Exam Pattern, Syllabus
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