Sin 36 equal to:
- 1. cos 54
- 2. sin 396, sin 756 etc.
<h3>Further explanation
</h3>
Trigonometry is the science of mathematics that studies the relationship between sides and angles in triangles
In a cartesian plane, the angle α can vary from 0° to 360°, counterclockwise
This coordinate field is divided into 4 quadrants :
- quadrant 1: 0° - 90°
- quadrant 2: 90° - 180
°
- quadrant 3: 180° - 270
°
- quadrant 4: 270° - 360°
In quadrant 1, there is a relationship between trigonometric functions:
- sin (90-α) = cos α
- cos (90-α) = sin α
- tan (90-α) = cotan α
- cotan (90-α) = tan α
Sin 36 is located in quadrant 1, so the corresponding formula and equal is sin (90-α) = cos α
sin 36 = sin (90-54) = <u>cos 54
</u>
For angles greater than 360° a correlation can be made:
<h3>sin (k x 360 + a) = sin a
</h3>
for sin 36 and k = 1 (1 rotation)
sin (1 x 360 + 36) = sin 396
for sin 36 and k = 2 (2 rotation)
sin sin (2 x 360 + 36) = sin 756
etc.
<h3>Learn more
</h3>
trigonometric ratio
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Prove the converse of the Pythagorean Theorem
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Use Pythagoras' theorem
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the triangle angle
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