JEE Advanced (True/False): Trigonometric Functions & Equations

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

Ans. T

Sol.

Hence

∴ 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

But sin2θ can not be –ve

But as

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

∴ Statement is false.

The document JEE Advanced (True/False): Trigonometric Functions & Equations | 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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