1
WB JEE 2010
Subjective
+2
-0

Prov that the equation $$\cos 2x + a\sin x = 2a - 7$$ possesses a solution if 2 $$\le$$ a $$\le$$ 6.

2
WB JEE 2010
Subjective
+2
-0

Find the values of x, ($$-$$ $$\pi$$, < x < $$\pi$$, x $$\ne$$ 0) satisfying the equation, $${8^{1 + |\cos x| + |{{\cos }^2}x| + ......\infty }} = {4^3}$$.

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