Question

Find value of cos 53 degrees and sin 53 degrees in fraction

Answer 1

Step-by-step explanation:

• sin53=4/5
• cos53=3/5
• tan53=4/3

Answer 2

Answer:

The answers are cos 53° = 3/5, sin 53°=4/5

Step-by-step explanation:

Given problem is about finding the values of  $Cos$ 53°, $Sin$ 53°

let assume that ABC is a right angled triangle    

in triangle ABC, if ∠B = 90°, ∠A = 53° then angle ∠C must be 37°      

[∵sum of the angles in triangle = 180°]  

⇒  we know that every right angled triangle follows the Pythagorean rule then the sides of the triangle must be Pythagorean triplets  

⇒ let take any Pythagorean triplets as sides of the triangle ABC

⇒ For our convenient here we are taking smallest Pythagorean triplet  3, 4, 5 as sides of triangle

∵ The hypotenuse is greater than sides ⇒ AC = 5 units

∵ Side BC is opposite 53° than AB < BC,

                                        BC= 4 units, AB = 3 units    

therefore sides of ABC are AB = 3, BC = 4,  AC = 5

 ⇒ cos A = cos 53° = $\frac{AB}{AC}$ = 3/5  

 ⇒ sin A = Sin 53° = $\frac{BC}{AC}$  = 4/5                  

[ these are approximate values of sin 53°, cos 53° ]