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Question
If tan245° – cos230° = x sin 45° cos 45° then x = ?
Options
2
–2
`1/2`
`-1/2`
MCQ
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Solution
`bb(1/2)`
Explanation:
`x = (tan^2 45^circ - cos^2 30^circ)/(sin 45^circ cos 45^circ)`
= `(1 - (sqrt(3)/2)^2)/((1/sqrt(2) xx 1/sqrt(2)))`
= `((1 - 3/4))/((1/2))`
= `(1/4 xx 2/1)`
= `1/2`
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