Question

y is this trigonometric application is used specifically chapter name application of trigonometry pls help me fast thank u if u help me I will mark u as brainliest I am class 10 no irregular answers u will be reported​

Answer 1

Answer:

ok  so lets start from the basics of trigonometry

so lets take an triangle ABC

so the sides are AB, BC ,and AC    

and let the angles be A,B ,C respectively  

and it is given that B is 90 degrees

so the sin of angle A is side opposite to A divided by the hypotenuse of

 i.e  

sinA=BC/AC

and similarly the cos of angle A is nothing but the side adjacent to angle A divided by the hypotenuse

i.e

cos A=AB/AC

and

tan of angle A is the side opposite to angle A/adjacent side

i.e BC/AB

and similarly there are other trigonometric ratios  they are cosec, sec , and cot

cosec is the reciprocal of sin      

and sec is the reciprocal of cos

and tan is the reciprocal of tan  

so these trigonometric values are used to relate angles with the sides

and these trigonometric ratios can be used to find the value of sin ,cos ,tan etc of any angle in aright angle triangle

You might ask why only right triangles the reason is sin ,cos ,tan etc work in all conditions even in circles too we will read that in higher classes

so some values of the trigonometric values are given for some standard angles like 0,30,45,60,90 degrees

as these trigonometric ratios help us link the sides with angles these  

values are used to find the measure of the sides    for exaple we will solve an easy problem  but this works good in all the cases

lets assume there is  an pole of height  6m  and is facing the sun   and a shadow of length 6 root 3 m is formed     find the angle of elevation of the sun.

so lets assume the same diagram let the height of the pole be CB

and the shadow be AB

so angle of elevation is  angle CAB or simply angle A

so now we need to find the angle

so in this question we use tan A  

which is CB/AB

substituting the values   we  

get

6/6*root 3

which is equal to 1/root 3

so what we interpret from this question is  

tan of A=1/root3

so as i said there are values for certain  specific angles i will add that attachment too

so the angle is 30 degrees

hope you understood i tried my best explaining to you

thank you

 here in the attachment there is also radians which is another unit of measurement of angles

for eg there is cm , mm, m ,Km  etc

this lesson can also be called HEIGHTS AND DISTANCES