If cos a + cos b = 3 2 and sin a + sinb 1 2 and q is the the arithmetic mean of a and b , then sin 2q + cos 2q is equal to :


If $\cos \alpha+\cos \beta=\frac{3}{2}$ and $\sin \alpha+\sin \beta \frac{1}{2}$ and $\theta$ is the the arithmetic mean of $\alpha$ and $\beta$, then $\sin 2 \theta+\cos 2 \theta$ is equal to :

  1. $\frac{3}{5}$

  2. $\frac{7}{5}$

  3. $\frac{4}{5}$

  4. $\frac{8}{5}$

Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Trigonometry chapter.
JEE Main Previous Year Online April 11, 2015



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