1. Tardigrade
  2. Question
  3. Mathematics
  4. Statement-1: The minimum value of 27 cos 2 x 81 sin 2 x is (1/243). Statement-2: The minimum value of a cos θ+b sin θ is -√a2+b2.

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Q. Statement-1 : The minimum value of $27^{\cos 2 x} 81^{\sin 2 x}$ is $\frac{1}{243}$.
Statement-2 : The minimum value of $a \cos \theta+b \sin \theta$ is $-\sqrt{a^2+b^2}$.

Trigonometric Functions

Solution:

Correct answer is (a) Statement- 1 is True, Statement- 2 is True ; Statement- 2 is a correct explanation for Statement- 1 .