Exercise 2.1 Inverse Trigonometric Functions

Exercise 2.1 Inverse Trigonometric Functions

Sunday, February 07, 2021

Agam Sir

Video Format

Topics/Questions discussed in this video:

00:00:30 What is the meaning of Inverse Trigonometry

00:03:40 Conditions when inverse of a function exists

00:17:50 Range of Inverse trigonometric functions (Principal values)

00:21:13 Derivation for negative input in inverse trigonometry

Find the principal values of the following:

00:29:13 NCERT Solutions Exercise 2.1 Question 1
\sin ^{-1} \left ( - \frac{1}{2} \right )

00:31:13 NCERT Solutions Exercise 2.1 Question 2
\cos ^{-1} \left ( \frac{\sqrt{3}}{2} \right )

00:32:23 NCERT Solutions Exercise 2.1 Question 3
\cosec ^{-1} \left ( 2 \right )

00:33:23 NCERT Solutions Exercise 2.1 Question 4
\tan ^{-1} \left ( \sqrt{3} \right )

00:34:15 NCERT Solutions Exercise 2.1 Question 5
\cos ^{-1} \left ( - \frac{1}{2} \right )

00:35:23 NCERT Solutions Exercise 2.1 Question 6
\tan ^{-1} \left ( - 1 \right )

00:36:13 NCERT Solutions Exercise 2.1 Question 7
\sec ^{-1} \left ( \frac{2}{\sqrt{3}} \right )

00:37:00 NCERT Solutions Exercise 2.1 Question 8
\cot ^{-1} \left ( \sqrt{3} \right )

00:37:33 NCERT Solutions Exercise 2.1 Question 9
\cos ^{-1} \left ( - \frac{1}{\sqrt{2}} \right )

00:38:43 NCERT Solutions Exercise 2.1 Question 10
\cosec ^{-1} \left ( - \sqrt{2} \right )

Find the values of the following:

00:39:23 NCERT Solutions Exercise 2.1 Question 11
\tan ^{-1} \left ( 1 \right )+\cos ^{-1} \left ( - \frac{1}{2} \right )+\sin ^{-1} \left ( - \frac{1}{2} \right )

00:41:13 NCERT Solutions Exercise 2.1 Question 12
\cos ^{-1} \left ( \frac{1}{2} \right )+2\sin ^{-1} \left ( - \frac{1}{2} \right )

00:42:03 NCERT Solutions Exercise 2.1 Question 13
If \sin ^ {-1}x = y

Agam Sir

Agam Sir

Teacher

Ashish Kumar a.k.a Agam Sir has vast experience of 12+ years of teaching Mathematics and Physics. He has skills (academic and vocational) that go with working alongside people, especially young people, their parent(s) and the institutes that works with him. He always seek to be an agent of positive change and progression, a mentor/ trainer/ educator for learners/students, seeing that their needs are ideally met.