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Trigonometric Functions and Equations · 2010 · Shift 1

3 Mathematics questions from this JEE Advanced paper

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JEE Advanced
Papers
2010 · Shift 1
Mathematics
Trigonometric Functions and Equations

Trigonometric Functions and Equations · 2010 · Shift 1

3 Mathematics questions from this JEE Advanced paper

Q29.The number of values of $θ$ in the interval, $(- \frac{π}{2}, \frac{π}{2})$ such that $θ e \frac{nπ}{5}$ for $n = 0, \pm 1, \pm 2$ and $tan θ = cot 5 θ$ as well as $sin 2 θ = cos 4 θ$ …
Mathematics · Trigonometric Functions and Equations · Numerical
Q30.The number of all possible values of $θ$ where $0 < θ < π,$ for which the system of equations $(y + z) cos 3 θ = (x y z) sin 3 θ x sin 3 θ = \frac{2 c o s 3 θ}{y} + \frac{2 s i n 3 θ}{z} (x y z) sin 3 θ = (y + 2 z) cos 3 θ + y s in 3 θ$ …
Mathematics · Trigonometric Functions and Equations · Numerical
Q31.The maximum value of the expression $\frac{1}{s i n ^{2} θ + 3 s i n θ c o s θ + 5 c o s ^{2} θ}$ is
Mathematics · Trigonometric Functions and Equations · Numerical