Who says physicists never get respect? Timemagazine recently named theoretical physicist Albert Einstein its "person of the century" in its year-end issue (December 27, 1999), citing not only his intellectual brilliance but his humanitarian concerns, and describing him as a "paramount icon of our age." Born in Germany in 1879, Einstein is notorious for having been expelled by a headmaster as a young school boy. He went on to win the 1921 Nobel Prize in physics for uncovering the theory of the photo-electric effect. His early work on the fundamentals of quantum theory and, of course, relativity, laid the groundwork for much of modern physics. This in turn paved the way for an unprecedented degree of technological development, including nuclear fission and fusion - the basis for the atomic bomb, nuclear power, and solar energy. Einstein emigrated to the US in 1933 to take a post at the Institute for Advanced Study, Princeton, NJ, narrowly escaping persecution by the Nazi government because of his Jewish heritage. He has since become one of the most recognizable faces in American physics, and has even been immortalized on the Silver Screen by actor Walter Matthau in the popular romantic comedy, I.Q In announcing their selection, the magazine editors wrote, "In a century that will be remembered foremost for its science and technology - in particular for our ability to understand and then harness the forces of the atom and the universe - one person clearly stands out as both the greatest mind and paramount icon of our age: The kindly, absent-minded professor whose wild halo of hair, piercing eyes, engaging humanity and extraordinary brilliance made his face a symbol and his name a synonym for genius. this is your answer harshali
Answers
Answer:
hex Hf ozfivjxfucjpgodtifuxf HD ushofgdgfgdgf
Explanation:
Trigonometry Values
Trigonometry values of different ratios, such as sine, cosine, tangent, secant, cotangent, and cosecant, deal with the measurement of lengths and angles of the right-angle triangle. The values of trigonometric functions for 0°, 30°, 45°, 60° and 90° are commonly used to solve trigonometry problems.
Trigonometry values are all about the study of standard angles for a given triangle with respect to trigonometric ratios. The word ‘trigon’ means triangle and ‘metron’ means ‘measurement’. It’s one of the major concepts and part of geometry, where the relationship between angles and sides of a triangle is explained.
Maths is an important subject, where we learn about different types of calculations and logic applied in our day-to-day life. Trigonometry basics are widely explained in student’s academic classes of 9 and 10. Here, you will learn about different trigonometric ratios and formulas. Also, solve problems based on these formulas and identities to understand the fundamentals of trigonometry in a better way.
Trigonometry Values Table
Let us learn, trigonometry values for angles 0°, 30°, 45°, 60° and 90°, with respect to sin, cos, tan, cot, sec, cosec functions, taking an example of the right-angle triangle.
Angle
00
300450600
900
Sin θ01/21/√2√3/21Cos θ1√3/21/√21/20Tan θ01/√31√3∞Cot θ∞√311/√30Sec θ12/√3√22∞Cosec θ∞2√22/√31
Suppose ABC is a right-angled triangle, right-angled at B. This triangle has a hypotenuse AC, an adjacent side AB which is adjacent to ∠θ and a perpendicular BC opposite to ∠θ.

Trigonometry values are based on three major trigonometric ratios, Sine, Cosine, and Tangent.
Sine or sin θ = Side opposite to θ / Hypotenuse = BC / AC
Cosines or cos θ = Adjacent side to θ / Hypotenuse = AB / AC
Tangent or tan θ =Side opposite to θ / Adjacent side to θ = BC / AB
Similarly, we can write the trigonometric values for Reciprocal properties, Sec, Cosec and Cot ratios.
Sec θ = 1/Cos θ = Hypotenuse / Adjacent side to angle θ = AC / AB
Cosec θ = 1/Sin θ = Hypotenuse / Side opposite to angle θ = AC / BC
Cot θ = 1/tan θ = Adjacent side to angle θ / Side opposite to angle θ = AB / BC
Also,
Sec θ . Cos θ =1
Cosec θ . Sin θ =1
Cot θ . Tan θ =1
Trigonometry Ratios Formula
Tan θ = sin θ/cos θ
Cot θ = cos θ/sin θ
Sin θ = 1/cosec θ
Cos θ = sin θ/tan θ = 1/sec θ
Sec θ = tan θ/sin θ = 1/cos θ
Cosec θ = 1/sin θ
Also,
Sin (90°-θ) = Cos θ
Cos (90°-θ) = Sin θ
Tan (90°-θ) = Cot θ
Cot (90°-θ) = Tan θ
Sec (90°-θ) = Cosec θ
Cosec (90°-θ) = Sec θ
Trigonometry Examples
Problem:
Find the value of sin(90-45)°.
Solution:
sin(90-45)° = cos 45° = 1/√2
Problem:
If tan θ = 4 and sin θ = 6. Then find the value of cos θ.
Solution:
We know, cos θ = sin θ/ tan θ
Therefore, cos θ = 6/4 = 3/2
Keep learning Maths with us and download BYJU’S- The learning App, for interactive videos.
MATHS Related LinksTrigonometric FunctionsTrigonometry TableTrigonometry FormulasTrigonometric IdentitiesInverse Trigonometric FunctionsTrigonometric Addition Formulas
Test your knowledge on Trigonometry Values

Put your understanding of this concept to test by answering a few MCQs. Click ‘Start Quiz’ to begin!
Select the correct answer and click on the “Finish” button
Check your score and answers at the end of the quiz
Start Quiz