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# Test: 35 Year JEE Previous Year Questions: Inverse Trigonometric Functions

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## 7 Questions MCQ Test Mathematics For JEE | Test: 35 Year JEE Previous Year Questions: Inverse Trigonometric Functions

Test: 35 Year JEE Previous Year Questions: Inverse Trigonometric Functions for JEE 2022 is part of Mathematics For JEE preparation. The Test: 35 Year JEE Previous Year Questions: Inverse Trigonometric Functions questions and answers have been prepared according to the JEE exam syllabus.The Test: 35 Year JEE Previous Year Questions: Inverse Trigonometric Functions MCQs are made for JEE 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: 35 Year JEE Previous Year Questions: Inverse Trigonometric Functions below.
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Test: 35 Year JEE Previous Year Questions: Inverse Trigonometric Functions - Question 1
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Test: 35 Year JEE Previous Year Questions: Inverse Trigonometric Functions - Question 2

### The trigonometric equation sin-1 x = 2 sin -1 a has a solution for

Detailed Solution for Test: 35 Year JEE Previous Year Questions: Inverse Trigonometric Functions - Question 2

Out of given four options none is absolutely correct

Test: 35 Year JEE Previous Year Questions: Inverse Trigonometric Functions - Question 3

### If   is equal to

Detailed Solution for Test: 35 Year JEE Previous Year Questions: Inverse Trigonometric Functions - Question 3

⇒ 4 - y2 -4x2+ x2y2
= 4 cos2 α + x2 y2 - 4 xy cosα
⇒ 4 x2 + y2 - 4 xy cosα = 4 sin2a .

Test: 35 Year JEE Previous Year Questions: Inverse Trigonometric Functions - Question 4

then the values of x is

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Test: 35 Year JEE Previous Year Questions: Inverse Trigonometric Functions - Question 5

The value of cot

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Test: 35 Year JEE Previous Year Questions: Inverse Trigonometric Functions - Question 6

If x, y, z are in A.P. and tan–1x, tan–1y and tan–1z are also in A.P., then

Detailed Solution for Test: 35 Year JEE Previous Year Questions: Inverse Trigonometric Functions - Question 6

Since, x, y, z are in A.P. ⇒ 2y = x + z
Also, we have, 2 tan–1 y = tan–1x + tan–1 (z)

Test: 35 Year JEE Previous Year Questions: Inverse Trigonometric Functions - Question 7

where  Then a value of y is :

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