exam Maths Puzzle Numerical Ability

(a) Express 8 Sin theta - 15 Cos theta, in the format: R.Sin(theta + beta)
(b) Using your answer to part (a), solve; 8 Sin theta - 15 Cos theta=8.5 for 0degrees<=theta<=360degrees

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exam Other Question
5-(2/x-6)=10-2x/x-6 Simplify (mulitiply)

3 {{{ sqrt (25x-4) sqrt (25x)}}}

Would the answer be something like 1-{{{sqrt (25x)}}}