If tan 2 x-5 x-1 for exactly 7 distinct values of x -0- n -2- n - N then the greatest value of n isA- 13B- 17C- 15D- 19

The correct option is C 15sex x = 3 ⇒ cos x = 1/3 [0, 2π], (2 π, 4 π], (4π, 6π] Which gives two values of x in each of [0, 2π], (2 π, 4 π], (4π, 6π] and one va ...

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Byju's Answer

Standard XII

Mathematics

Modulus of a Complex Number

If tan 2 x-5 ...

Question

If $t a n^{2} x - 5 s e c x = 1$ for exactly 7 distinct values of $x \in [0, \frac{n π}{2}], n \in N$ then the greatest value of n is

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Solution

The correct option is D 15
$s e x x = 3 \Rightarrow c o s x = \frac{1}{3} [0, 2 π], (2 π, 4 π], (4 π, 6 π]$
Which gives two values of x in each of $[0, 2 π], (2 π, 4 π], (4 π, 6 π]$ and one value in $6 π + \frac{3 π}{2} = 15 \frac{π}{2}$
$∴$ greatest value of n = 15

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If tan2x−5secx=1 for exactly 7 distinct values of x∈[0,nπ2],n∈N then the greatest value of n is

The correct option is D 15sexx=3⇒cosx=13[0,2π],(2π,4π],(4π,6π] Which gives two values of x in each of [0,2π],(2π,4π],(4π,6π] and one value in 6π+3π2=15π2 ∴ greatest value of n = 15

If $t a n^{2} x - 5 s e c x = 1$ for exactly 7 distinct values of $x \in [0, \frac{n π}{2}], n \in N$ then the greatest value of n is

The correct option is D 15
$s e x x = 3 \Rightarrow c o s x = \frac{1}{3} [0, 2 π], (2 π, 4 π], (4 π, 6 π]$
Which gives two values of x in each of $[0, 2 π], (2 π, 4 π], (4 π, 6 π]$ and one value in $6 π + \frac{3 π}{2} = 15 \frac{π}{2}$
$∴$ greatest value of n = 15