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True/False: Trigonometric Functions & Equations | JEE Advanced - Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE

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Q.1. If  tan A = (1- cos B)/sinB , then tan 2A = tan B. (1983 - 1 Mark)

Ans. T

Sol.  True/False: Trigonometric Functions & Equations | JEE Advanced - Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEETrue/False: Trigonometric Functions & Equations | JEE Advanced - Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE

Hence   True/False: Trigonometric Functions & Equations | JEE Advanced - Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEETrue/False: Trigonometric Functions & Equations | JEE Advanced - Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE

∴ Statement is true.

 

Q.2. There exists a value of  θ between 0 and 2π that satisfies the equation sin4θ - 2 sin2θ - 1 = 0 .   (1984 - 1 Mark)

Ans. F

Sol.  Given equation is sin4θ- 2 sin2θ - 1=0 Here,    

D = 4 + 4 = 8

True/False: Trigonometric Functions & Equations | JEE Advanced - Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE

But sin2θ can not be –veTrue/False: Trigonometric Functions & Equations | JEE Advanced - Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE

But asTrue/False: Trigonometric Functions & Equations | JEE Advanced - Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE  True/False: Trigonometric Functions & Equations | JEE Advanced - Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE

Thus there is no value of θ which satisfy the given equation.

∴ Statement is false.

The document True/False: Trigonometric Functions & Equations | JEE Advanced - Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE is a part of the JEE Course Maths 35 Years JEE Main & Advanced Past year Papers.
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