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JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced PDF Download

Fill in the Blanks

Q. 1. Let a, b, c be positive real numbers. Let

JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & AdvancedJEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced

Then  tan θ = _________

Ans. 0

Solution. Let a + b + c = u, then

JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced
JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced
JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced
JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced
JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced

[Using tan–1 (– x) = – tan–1 x] = π
∴ tan θ = tan π = 0


Q. 2. The numerical value of tan JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced equal to _________

Ans. -7/17

Solution. 

JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced
JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced


Q. 3. The greater of the two angles A = 2 tan -1 (2 √2 - 1) and B = 3 sin -1 (1/3) + sin -1 (3/5) is _________ .

Ans. A

Solution. We have

JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced
⇒  A > 2π /3    ... (1)

Also B = 3 sin–1 (1/3) + sin–1(3/5)

JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced
JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & AdvancedJEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced

⇒ B < 2π /3 ....(2)
From (1) and (2) we conclude A > B.

The document JEE Advanced (Fill in the Blanks): Inverse Trigonometric Functions | Chapter-wise Tests for JEE Main & Advanced is a part of the JEE Course Chapter-wise Tests for JEE Main & Advanced.
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