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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[@bob_math5318]

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

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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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Great explanation in easy way to understand. Thank you so much

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Bahut accha bhai video banaye ho... Esi tarah banate raho.. Jissse sabhi log ko helpful ho

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This was very helpful. Thank you for this amazing video sir

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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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" All S T C " is best for remembering.

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CAST is best

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ASTC is what we used ;) it actually means Assam State Transport Corporation 😂

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All silver T cup

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This is the best and most helpful video for trigonometry ❤

[@MaliniBorse]

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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I'm in BTech and I forgot this all of a sudden. I've been searching for this in my 11th and 12th textbooks all along but couldn't find it. Thank you so much for this valuable video! Gotta save it for future references.

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Thankyou sir for your support 💕

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I learned it very easy thank you sir

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Awesome presentation! understood really well

[@paracosmbts]

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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Brilliant Explanation.

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

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

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@@abusufyan1352 1st quadrant

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But what should I do when the problem look like sin33 or tan 42 etc??

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To know what sign (+ve or -ve) trig. ratios take in each quadrant a useful method, already in use for years , starting from : A) 1st quad. - All ratios - +ve , S) 2nd. quad. - only SINE is +ve, T) 3rd. quad.- only TAN is +ve. & C) 4th. quad. - only COS is +ve. A memory aid is : CAST from the 4th quadrant. (Anti- clockwise)

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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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What is the value when 180° or 315°

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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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❤️

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One of my classmates came out to the right answer of this problem by chance without even knowing what the exact result to be.

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

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Excellent.

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[@CaptainLevi.]

Thank you so much. I just moved to class 11th and this video was very helpful

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

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Who derive this method please tell??

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Thank you so much sir.

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Bhaiya toh 90° konse quadrant me aati h 1st ya 2nd

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"A S T C" - "ADD SUGAR TO COFFEE" (really easy to remember, in one go! 😆)

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(All Silver Tea Cups ) too

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