If x tan 60° + cos 45° = sec 45° then the value of (x2

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x tan 60° + cos 45° = sec 45°

⇒ √3x +	1	= √2
	√2

⇒ √3x = √2 −	1
	√2

⇒ √3x =	2 − 1	=	1
	√2		√2

⇒ x =	1
	√6

∴ x² + 1 =		1		²	+ 1
		√6

=	1	+ 1 =	7
	6		6