To express sine 326 degrees as a function of a positive acute angle, we first need to find an equivalent angle that falls within the first quadrant (0 to 90 degrees).

Step 1: Since the sine function has a period of 360 degrees, we can subtract 360 from 326 to find an equivalent angle.

326 - 360 = -34 degrees

Step 2: The sine of an angle and its negative are the same in magnitude but opposite in sign. Therefore, sin(-34) = -sin(34).

So, sin(326 degrees) = -sin(34 degrees)

Therefore, sine 326 degrees can be expressed as the negative sine of the acute angle 34 degrees.

Question

To express sine 326 degrees as a function of a positive acute angle, we first need to find an equivalent angle that falls within the first quadrant (0 to 90 degrees).

Step 1: Since the sine function has a period of 360 degrees, we can subtract 360 from 326 to find an equivalent angle.

326 - 360 = -34 degrees

Step 2: The sine of an angle and its negative are the same in magnitude but opposite in sign. Therefore, sin(-34) = -sin(34).

So, sin(326 degrees) = -sin(34 degrees)

Therefore, sine 326 degrees can be expressed as the negative sine of the acute angle 34 degrees.

Knowee AI · Accepted Answer

To express sine 326 degrees as a function of a positive acute angle, we first need to find an equivalent angle that falls within the first quadrant (0 to 90 degrees).

Step 1: Since the sine function has a period of 360 degrees, we can subtract 360 from 326 to find an equivalent angle.

326 - 360 = -34 degrees

Step 2: The sine of an angle and its negative are the same in magnitude but opposite in sign. Therefore, sin(-34) = -sin(34).

So, sin(326 degrees) = -sin(34 degrees)

Therefore, sine 326 degrees can be expressed as the negative sine of the acute angle 34 degrees.

Express the following as a function of a positive acute angle:sine, 326, degreessin326 ∘

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