What is 16.1((15)/(cos(a)))^2 ?

The solution to 16.1((15)/(cos(a)))^2 is 3622.5sec^2(a)

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simplify 16.1((15)/(cos(a)))^2

simplify

16.1 (\frac{15}{cos ( a )})^{2}

3622.5 sec^{2} (a)

Solution steps

16.1 (\frac{15}{cos ( a )})^{2}

Use the basic trigonometric identity:

\frac{1}{cos ( x )} = sec (x)

= 16.1 (15 sec (a))^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(15 sec (a))^{2} = 1 5^{2} sec^{2} (a)

= 16.1 \cdot 1 5^{2} sec^{2} (a)

1 5^{2} = 225

= 16.1 \cdot 225 sec^{2} (a)

Multiply the numbers:

16.1 \cdot 225 = 3622.5

= 3622.5 sec^{2} (a)

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\frac{( a ^{2} - 11 a + 30 )}{( a - 6 )}

2 sin (x) cos (x) + 2 sin (y) cos (y)

What is 16.1((15)/(cos(a)))^2 ?
The solution to 16.1((15)/(cos(a)))^2 is 3622.5sec^2(a)