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Question
Evaluate the following:
`(sin 32^circ)/(cos 58^circ)`
Evaluate
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Solution
Given: `(sin 32^circ)/(cos 58^circ)`
Step-wise calculation:
1. Use the complementary-angle identity cos (90° – θ) = sin θ.
So, cos 58° = cos (90° – 32°)
= sin 32°
2. Substitute:
`(sin 32^circ)/(cos 58^circ)`
= `(sin 32^circ)/(sin 32^circ)`
= 1
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