book Maths Puzzle Numerical Ability

If log sin x = a and log cos x = b, then log (cot ^2 x + 1) = ?

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Please help me with this question: find the axis of symmetry for the equation: {{{y=(1/2)(x-4)^2+2}}} A train left Shawnee traveling due west at 90 miles per hour. A car left Shawnee at the same time traveling due east at 60 miles per hour. How long will it take before the train and car are 405 miles apart? Put in nearest tenth of an hour.

thanx