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Answer:
Step-by-step explanation:
<em>Let the number be x </em>
So,
=> The sum of number and 15 is x + 15
=> Three times will be 3(x+15)
<u>Given that</u> it equals 24
<u>So, the given condition is:</u>
3(x+15) = 24
<em>Resolving Parenthesis</em>
3x + 45 = 24
<em>Subtracting 45 to both sides</em>
3x = 24 - 45
3x = -21
<em>Dividing both sides by 3</em>
x = -7
Cos 75 = 45 + 30
Formula: cos 45 x cos 30 - sin 45 x sin 30
Cos 45 = root 2 / 2
Cos 30 = root 3 / 2
Sin 45 = root 2 / 2
Sin 30 = 1 / 2
Formula: cos 45 x cos 30 - sin 45 x sin 30
Cos 45 = root 2 / 2
Cos 30 = root 3 / 2
Sin 45 = root 2 / 2
Sin 30 = 1 / 2