If tan x = sin 45°. cos 45° + sin 30° then the value

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If tan x = sin 45°. cos 45° + sin 30° then the value of x is

1. 30°
2. 45°
3. 60°
4. 90°

Correct Option: B

tanx = sin45°.cos45° + sin 30°

=		1	.	1	+	1	=		1	+	1	= 1
		√2		√2		2			2		2

∴ tanx = tan 45° ⇒ x = 45°