Trigonometry - Find Values of Trigonometric Ratios Greater than 90 Degrees | Trigonometry class 10

The angles by which trigonometric functions can be represented are called as trigonometry angles. The important angles of trigonometry are 0°, 30°, 45°, 60°, 90°. These are the standard angles of trigonometric ratios, such as sin, cos, tan, sec, cosec, and cot. Each of these angles has different values with different trig functions
Trigonometry angles are the angles given by the ratios of the trigonometric functions. Trigonometry deals with the study of the relationship between angles and the sides of a triangle. The angle value ranges from 0-360 degrees. The important angles in trigonometry are 0°, 30°, 45°, 60°, 90°, 180°, 270° and 360°. And the important six trigonometric ratios or functions are sine, cosine, tangent, cosecant, secant and cotangent.
Angle (in Degrees) 0° 30° 45° 60° 90° 180° 270° 360°
Angle (in Radians) 0 π/6 π/4 π/3 π/2 π 3π/2 2π
Sin 0 1/2 1/√2 √3/2 1 0 -1 0
Cos 1 √3/2 1/√2 1/2 0 -1 0 1
Tan 0 1/√3 1 √3 ∞ 0 ∞ 0
Cot ∞ √3 1 1/√3 0 ∞ 1 ∞
Sec 1 2/√3 √2 2 ∞ -1 ∞ 1
Cosec ∞ 2 √2 2/√3 1 ∞ -1 ∞
Formulae:-
Supplementary angles ( = sum is π)
Sin ( π - α ) = sin α
Cos (π - α ) = - cos α
Tan (π - α ) = - tan α
Cot (π - α) = - cot α
Anti-supplementary Angles (= difference is π)
Sin ( π + α ) = - sin α
Cos (π + α ) = - cos α
Tan (π + α ) = tan α
Cot (π + α ) = cot α
Opposite Angles ( = sum is 2π)
Sin ( 2π - α ) = - sin α
Cos (2π - α ) = cos α
Tan (2π - α ) = -tan α
Cot (2π - α ) = - cot α
Complementary Angles (= sum is π/2)
Sin ( π/2 - α ) = cos α
Cos (π/2 - α ) = sin α
Tan (π/2 - α ) = cot α
Cot (π/2 - α ) = tan α
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#trigonometryformulas
Music:- Maestro Tlakaelel
Artist :- Jesse Gallagher
Fair Use Copyright Disclaimer:- This video is solely meant for educational purpose we do not want to hurt sentiments if any. All rights reserved
Thank You...

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@@viveksingh5058 in physics for refraction and other topics you first need to know about trigonometry I guess

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C- cos/sec (are postive) A- all (are positive) S- sin/cosec ( are postive) T- tan/cot (are postive)

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Its ASCT Rule….

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this is so useful and so quick, thanks

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very clear to me there is another way of finding angles using quadrants can you please explain n share it on KZbin thank a lot

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02:48 90° & 270° ke pas hoga toh change ho jayega magar kitna pas hona chahiye change hone ke liye?

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Iam a neet aspirant , and last year when i was in tenth .. this exercise was removed by cbse so i forgot to practice this but i saw this type of questions in class11th so i totally blanked , but u see this video and now im well prepared for these type kf question.🙏⚡

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2nd quadrant mein sin, coec positive kyu aayega pahle yahi batao? π by two ke odd multiple mein sin cos mein cos sin mein kyu badalta hai?

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Thank you sir..

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" All S T C " is best for remembering.

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What is the value when 180° or 315°

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Natural sin aur sine theta main kya farak hai????

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Why sin changes into cos at 90°, or 270°...can you give reason??

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How do we know when to add from 90/180/270 and when to subtract from them???? Plzz solve my doubt

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explaining very good method,

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Sir for 120, you subtracted it from 90.And for 330 you subtracted it from 360.Does it mean that we have to subtract it from the angle which would give less value than the other?

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Aise case m agar standard angle ka use na ho toh kaise solve krenge eg cos 70= ?

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Bhai agr ye 90-theta pucha to wo kis quadrent me aaye ga?

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@@abusufyan1352 1st quadrant

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Sir,you said that if any angle is closer to 90 or 180 then sin converts into cos and vice versa but sir how much closer,I am not able to understand this properly sir ...please explain

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but sir aagar kya ho ki koi value kuch aalag sa hi aa jae jaise sin247 degree cot287 degree. vaha kya hoga

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Excellent.