/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 24 Find a cofunction with the same ... [FREE SOLUTION] | 91影视

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Chapter 4: Problem 24

Find a cofunction with the same value as the given expression. $$\csc 35^{\circ}$$

Short Answer

Expert verified
The cofunction with the same value as \(\csc 35^{\circ}\) is \(\sec 55^{\circ}\).

Step by step solution

01

Identify the given function and angle

The given function is \(\csc\) and the angle is \(35^{\circ}\). So we need to find the cofunction of \(\csc 35^{\circ}\).
02

Use the cofunction identities

According to the cofunction identities in trigonometry, the cofunction of \(\csc 胃\) is \(\sec (90^{\circ} - 胃)\). Hence, substitute \(胃 = 35^{\circ}\) into the equation.
03

Calculate the complementary angle

Substitute \(胃 = 35^{\circ}\) in \(\sec (90^{\circ} - 胃)\), we get \(\sec (90^{\circ} - 35^{\circ})\). Calculate the value inside the brackets, that is, \(90^{\circ} - 35^{\circ} = 55^{\circ}\). So, our cofunction is \(\sec 55^{\circ}\).

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