thevenin and norton theorem solved problems -Electricaldiary

Trigonometry is one of the important and toughest chapters of mathematics. In the Indian Schooling system, it started in the 10th class of CBSE, ICSE, and other State Boards.

In the 10th class, only the basics of trigonometry are covered where students got the basics idea of trigonometry and its internal relation with different types of trigonometrical identities and also about the numerical value of the trigonometrical ratio for different angles. In this post, I will represent the Trigonometry table for formula and the numerical value of trigonometrical identities.

Trigonometry Table for 0 to 90 For Class 10

In most of the applications of trigonometry, we use 0 to 90 angles for finding its numerical value with various trigonometry identities. here we start to find the numerical value of the trigonometrical ratio from 0,30,45,60 and 90-degree angles. This numerical value table is also used by 10th class students As trigonometry table class 10. The numerical value for Various angles are given below:-

Angles=	0	30	45	60	90
Sinθ	0	1/2	1/√2	√3/2	1
Cosθ	1	√3/2	1/√2	1/2	0
Tanθ	0	1/√3	1	√3	∞
Cotθ	∞	√3	1	1/√3	0
Secθ	1	2/  √3	√2	2	∞
Cosecθ	∞	2	√2	2/√3	1

From the above-given table, anyone can easily find the numerical value of any angles of any trigonometrical identities

Example

Cosec0 = ∞  

Sin0 = 0

Sin45 = 1/√2 

Trigonometry table trick to memories for forever

Students are always looking for a trick to remember the numerical value of trigonometrical identities. But there is no trick to memories it but here I will suggest some idea which will really help you to memories the numerical value of any trigonometrical identities. For this, you have to memories at least to formula and all the numerical value of the Sinθ

Sin²x + Cos²x =1

Cosx=√(1-sin²x)

if you put x=0 and then solve for Cosx then you will get that

Cosx=1

Put x=30 and solve for Cosx then you will get that

Cos30=√(1-sin²30)

Cos30=√{1-(1/2)²}

Cos30=√(1-1/4)

Cos30=√3/2

if you will memories all the value of Sinx then using the above-given formula you can easily calculate the remaining value of Cosx.

To calculate the value of tanx, for different value of angle use this formula 

tanx = Sinx/Cosx

For calculation of Tan0, Put X=0 in the above given formula 

Tan0=Sin0/Cos0

Tan0 = 0/1

tan0 = 0

For calculation of Tan30, Put X=30 in the above-given formula 

tan30 = Sin30/Cos30

tan30 = (1/2)/(√3/2)

tan30 = 1/√3

using this technique you can easily calculate all the remaining Value of tanx.

Trigonometry table 0-360 | Trigonometry table 0 360 pdf

Here represented table will provide the numerical value of all the value of trigonometrical value for angles greater than 90 up to 360.

Angles=	120 (90+30)	150 (90+60)	180 (90+90)	210 (180+30)	240 (180+60)
Sinθ	√3/2	1/2	0	- (1/2)	- (√3/2)
Cosθ	- (1/2)	- (√3/2)	- 1	- (√3/2)	- (1/2)
Tanθ	- (√3)	-(1/√3)	0	1/√3	√3
Cotθ	-(1/√3)	- √3	- ∞	√3	1/√3
Secθ	-2	-(2/√3)	√2	- ∞	2
Cosecθ	2/√3	2	∞	-2	-(2/√3)