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Evaluate the following: (sin 32^circ)/(cos 58^circ) - Mathematics

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प्रश्न

Evaluate the following:

`(sin 32^circ)/(cos 58^circ)`

मूल्यांकन
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उत्तर

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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पाठ 18: Trigonometric Ratios of Some Standard Angles and Complementary Angles - Exercise 18C [पृष्ठ ३८०]

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नूतन Mathematics [English] Class 9 ICSE
पाठ 18 Trigonometric Ratios of Some Standard Angles and Complementary Angles
Exercise 18C | Q 1. (i) | पृष्ठ ३८०
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