book Maths Puzzle Numerical Ability

cos theta = 5/12 and tan theta is negative, find the exact value of sec theta.

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Find a basis for the subspace R^4 consisting of all vactors of the form (a + b, b+c, a-b-2c, b + c), what is the dimesion of the subspace? can someone please help me out as soon as possible with this problem: translate "the difference between twelve times a number and the number" into a mathematical expression. tha