Plus Two Math's Solution Miscellaneous Chapter2 Inverse Trigonometric Functions

Plus Two Math's Solution Miscellaneous Chapter2 Inverse Trigonometric Functions

Inverse trigonometry as its name indicates study materials, with inverse trigonometry pdf questions, you can use the inverse trigonometry pdf to do the inverse trigonometry book test, inverse trigonometry notes, and other miscellaneous questions of inverse trigonometry. Proposing a simple technique to solve complex math problems is not an easy task. It requires good knowledge, understanding, and a thorough explanation. This is where the book takes over! Inverse Trigonometry, Math Study Materials is a very important topic in maths for all competitive exams. In this study materials, I have tried to solve all basic questions in inverse trigonometry.

Board SCERT, Kerala
Text Book NCERT Based
Class Plus Two
Subject Math's Textbook Solution
Chapter Chapter 2
Exercise Miscellaneous Exercise
Chapter Name Inverse Trigonometric Functions
Category Plus Two Kerala


Kerala Syllabus Plus Two Math's Textbook Solution Chapter  2 Inverse Trigonometric Functions Miscellaneous Exercise


Chapter  2  Inverse Trigonometric Functions Solution



Kerala plus two maths NCERT textbooks, we provide complete solutions for the exercise and answers provided at the end of each chapter. We also cover the entire syllabus given by the Board of secondary education, Kerala state.

Chapter  2  Inverse Trigonometric Functions Miscellaneous Exercise

    Prove 

    Consider, 


    Prove 

    L.H.S = 

    Prove 

    test

    Prove 

    Now, we have:

    Prove 

    Using (1) and (2), we have

    Solveis equal to

    (A)  (B)  (C)  (D) 

    sin 

    Hence option D

    Solveis equal to

    (A) (B). (C) (D) 

    Hence, the correct answer is C.

    Find the value of 

    We know that cos−1 (cos x) = x if, which is the principal value branch of cos −1x.

    Here,

    Now, can be written as:

    Find the value of 

    We know that tan−1 (tan x) = x if, which is the principal value branch of tan −1x.

    Here,

    Now, can be written as:

    Prove 

    Now, we have:

    Prove 

    Now, we have:

    Prove 

    Now, we will prove that:

    Prove 

    Let  Then,  

    Prove  [Hint: putx = cos 2θ]

    Put  so that , then we have 

    Solve

    Solve

    Solvethen x is equal to

    (A)  (B)  (C) 0 (D) 

    Therefore, from equation (1), we have

    Put x = sin y. Then, we have:

    But, when, it can be observed that:

    is not the solution of the given equation.

    Thus, x = 0.

    Hence, the correct answer is C.


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Chapter 2: Inverse Trigonometric Functions Miscellaneous Exercise Solution


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