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In Mathematics / High School | 2014-04-28

Calculate \(\sin(a) = 0.34\).

Asked by Anonymous

Answer (2)

s ina = 0.34 has already been calculated for us, but to calculate the angle, which is what I'm assuming you want to know, we must take the inverse trigonometric function of sin.
From: s ina = 0.34 , we can derive that:
a = s i n − 1 0.34
Using a scientific calculator to solve this, we can see that the degrees that a is equal to (rounded to the nearest degree) is:
a = 20 °
Wish you luck! :)

Answered by Cam943 | 2024-06-25

To calculate sin ( a ) = 0.34 , we use a = sin − 1 ( 0.34 ) , which gives us approximately 19.88° and another angle of approximately 160.12° as potential solutions. This highlights the concept that sine values can have two angles in the range of 0° to 360°.
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Answered by Cam943 | 2024-09-30