Find the value of sin37°, sin53°, tan37°, tan53° in terms of fraction.

By Ritesh|Updated : November 4th, 2022

The value of sin37°, sin53°, tan37°, tan53° in terms of fraction is ⅗, ⅘, ¾ and 4/3. Cos, Sin, and Tan values are the main functions we take into account when solving trigonometric problems in trigonometry. A right-angle triangle's angles and sides are calculated using these trigonometric numbers.

Sin Cos Tan Formula

Assume that ABC is a right triangle with B at its right angle. The following is the formula for sine, cosine, and tangent:

  • Sine θ = Opposite side/Hypotenuse = BC/AC
  • Cos θ = Adjacent side/Hypotenuse = AB/AC
  • Tan θ = Opposite side/Adjacent side = BC/AB

Let's now consider about the triangle's sides in terms of the Pythagorean triplet.

Let's take the right-angled triangle with sides of 3, 4, and 5 cm into consideration.

When the angle = 37° or 53°

  • cos A = base / hypotenuse
  • So, cos 53° = 3/5
  • cos 37° = 4/5

We know that,

  • sin 90 – A = cos A
  • So cos 53° = sin 37 and cos 37° = sin 53°

Now:

  • tan A = perpendicular / base
  • tan 37° = 3/4
  • tan 53° = 4/3
  • sin 37° = 3/5 = cos 53°
  • sin 53° = 4/5 = cos 37°
  • tan 37° = 3/4 = cot 53°
  • tan 53° = 4/3 = cot 37°

Summary:

Find the value of sin37°, sin53°, tan37°, tan53° in terms of fraction.

The value of sin37°, sin53°, tan37°, tan53° in terms of fraction is ⅗, ⅘, ¾ and 4/3. Trigonometric functions are also called circular functions. They are easily defined as functions of triangle angles.

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