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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. 
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.
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