Read and download free pdf of CBSE Class 12 Mathematics Inverse Trigonometric Functions Worksheet Set A. Students and teachers of Class 12 Mathematics can get free printable Worksheets for Class 12 Mathematics Inverse Trigonometric Functions in PDF format prepared as per the latest syllabus and examination pattern in your schools. Class 12 students should practice questions and answers given here for Mathematics in Class 12 which will help them to improve your knowledge of all important chapters and its topics. Students should also download free pdf of Class 12 Mathematics Worksheets prepared by teachers as per the latest Mathematics books and syllabus issued this academic year and solve important problems with solutions on daily basis to get more score in school exams and tests
Worksheet for Class 12 Mathematics Inverse Trigonometric Functions
Class 12 Mathematics students should refer to the following printable worksheet in Pdf for Inverse Trigonometric Functions in Class 12. This test paper with questions and answers for Class 12 will be very useful for exams and help you to score good marks
Class 12 Mathematics Worksheet for Inverse Trigonometric Functions
CBSE Class 12 Mathematics Inverse Trigonometric Functions (1). Students can download these worksheets and practice them. This will help them to get better marks in examinations. Also refer to other worksheets for the same chapter and other subjects too. Use them for better understanding of the subjects.
MULTIPLE CHOICE QUESTIONS
Question. tan-1 √3 – sec-1 (-2) is equal to
(a) π
(b) –π/3
(c) π/3
(d) 2π/3
Answer : B
Question. Principal value of tan-1 (-1) is
(a) π/4
(b) −π/2
(c) 5π/4
(d) −π/4
Answer : D
Question. The principle value of sin-1(sin2π/3) is
(a) 2π/3
(b) π/3
(c) −π/6
(d) π/6
Answer : B
Question. Simplified form of cos-1 (4x3 – 3x)
(a) 3 sin-1x
(b) 3 cos-1x
(c) π – 3 sin-1x
(d) None of these
Answer : B
Question. cos-1(cos 7π/6) is equal to
(a) 7π/6
(b) 5π/6
(c) π/3
(d) π/6
Answer : B
Question. The value of cos-1(1/2) + 2sin-1(1/2) is equal to
(a) π/4
(b) π/6
(c) 2π/3
(d) 5π/6
Answer : B
Question. sin-1 x = y Then
(a) 0 ≤ y ≤ π
(b) –π/2 ≤ y ≤ π/2
(c) 0 < y < π
(d) –π/2 < y < –π/2
Answer : B
Question. Principal value of sin-1(1/√2)
(a) π/4
(b) 3π/4
(c) 5π/4
(d) None of these
Answer : A
Question. The principal value of cosec-1 (-2) is
(a) –2π/3
(b) π/6
(c) 2π/3
(d) –π/6
Answer : D
Question. The value of expression 2 sec-1 (2) + sin-1 (1/2) is
(a) π/6
(b) 5π/6
(c) 7π/6
(d) 1
Answer : B
Question. The principle value of sin-1 (√3/2) is
(a) 2π/3
(b) π/6
(c) π/4
(d) π/3
Answer : D
Question. sin[π/3 – sin-1(-1/2)] is equal to
(a) 1//2
(b) 1/3
(c) 1/4
(d) 1
Answer : D
CASE STUDY QUESTIONS
Case Study 1
A group of students of class XII visited India Gate on an education trip. The teacher and students had interest in history as well. The teacher narrated that India Gate, official name Delhi Memorial, originally called All-India War Memorial, monumental sandstone arch in New Delhi, dedicated to the troops of British India who died in wars fought between 1914 and 1919. The teacher also said that India Gate, which is located at the eastern end of the Raj path (formerly called the Kingsway), is about 138 feet (42 metrs) in height.
Question. What is the angle of elevation if they are standing at a distance of 42m away from the monument?
a) tan−1 1
b) sin−1 1
c) cos−1 1
d) sec−1 1
Answer : A
Question. They want to see the tower at an angle of sec−1 1/2. So, they want to know the distance where they should stand and hence find the distance.
a) 42 m
b) 20.12 m
c) 25.24 m
d) 24.64 m
Answer : C
Question. If the altitude of the Sun is at cos−1 1/2, then the height of the vertical tower that will cast a shadow of length 20 m is
a) 20√3 m
b) 20/ √3 m
c) 15/ √3 m
d) 15√3 m
Answer : A
Question. The ratio of the length of a rod and its shadow is 1:2. The angle of elevation of the Sun is
a) sin−1 1/2
b) cos−1 1/2
c) tan−1 1/2
d) cot−1 1/2
Answer : A
Question. Domain of sin−1 𝑥 is……..
a) (-1, 1)
b) {-1,1}
c) [ -1,1]
d) none of these
Answer : C
Case Study 2
A Satellite flying at height h is watching the top of the two tallest mountains in Uttarakhand and Karnataka, them being Nanda Devi (height 7,816m) and Mullayanagiri (height 1,930 m). The angles of depression from the satellite, to the top of Nanda Devi and Mullayanagiri are cot−1 √3 andtan−1 √3 respectively. If the distance between the peaks of the two mountains is 1937 km, and the satellite is vertically above the midpoint of the distance between the two mountains.
Question. The distance of the satellite from the top of Nanda Devi is
a) 1139.4 km
b) 577.52 km
c) 1937 km
d) 1025.36 km
Answer : A
Question. The distance of the satellite from the top of Mullayanagiri is
a) 1139.4 km
b) 577.52 km
c) 1937 km
d) 1025.36 km
Answer : C
Question. The distance of the satellite from the ground is
a) 1139.4 km
b) 577.52 km
c) 1937 km
d) 1025.36 km
Answer : A
Question. What is the angle of elevation if a man is standing at a distance of 7816m from Nanda Devi?
a) sec−1 2
b) cot−1 1
c) sin−1 √3
d) cos−1 1/2
Answer : A
Please click the link below to download CBSE Class 12 Mathematics Inverse Trigonometric Functions (1).
CBSE Class 12 Mathematics Matrices Worksheet |
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CBSE Class 12 Mathematics Application Of Derivative Worksheet Set B |
CBSE Class 12 Mathematics Vector Algebra Worksheet |
CBSE Class 12 Mathematics Inverse Trigonometric Functions Worksheet Set A |
CBSE Class 12 Mathematics Inverse Trigonometric Functions Worksheet Set B |
Worksheet for CBSE Mathematics Class 12 Inverse Trigonometric Functions
We hope students liked the above worksheet for Inverse Trigonometric Functions designed as per the latest syllabus for Class 12 Mathematics released by CBSE. Students of Class 12 should download in Pdf format and practice the questions and solutions given in the above worksheet for Class 12 Mathematics on a daily basis. All the latest worksheets with answers have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better scores in their class tests and examinations. Expert teachers of studiestoday have referred to the NCERT book for Class 12 Mathematics to develop the Mathematics Class 12 worksheet. After solving the questions given in the worksheet which have been developed as per the latest course books also refer to the NCERT solutions for Class 12 Mathematics designed by our teachers. We have also provided a lot of MCQ questions for Class 12 Mathematics in the worksheet so that you can solve questions relating to all topics given in each chapter.
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