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shutvik [7]
3 years ago
11

Solve for x

x - 15°) = 1.677" alt=" \sec(2x - 15°) = 1.677" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Lemur [1.5K]3 years ago
6 0

Remember that sec=1/cos:

\dfrac{1}{\cos(2x-15)}=1.677

Invert both members:

\cos(2x-15) = \dfrac{1}{1.677}

Consider the arccos of both sides:

\arccos(\cos(2x-15))=\arccos\left(\dfrac{1}{1.677}\right)

Arccos and cod simplify:

2x-15=\arccos\left(\dfrac{1}{1.677}\right)

Add 15 to both sides:

2x=\arccos\left(\dfrac{1}{1.677}\right)+15

Divide both sides by 2:

x=\dfrac{\arccos\left(\dfrac{1}{1.677}\right)+15}{2}

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