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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Music:- Maestro Tlakaelel
Artist :- Jesse Gallagher

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Thank You...

[tariqreshi]

India has great and brilliant teachers of mathematics and you are one of them.

[bob_math]

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

[mrbraker]

Am a class 12 student but i forgot these. But thank u for simple explaination. Now its very clear😍

[ditidevikar]

Very informative videos who are confused about this topic and want's to re-watch. The teacher helps u to understand the topic in simplest way possible without confusing.

[s.o.m_graphy]

I'm a biology student and literally i want to recommend this video to all types of viewers.

It's easy, understandable.👍💛

[aasthabhor]

Thank you sir I'm in class 9th...
And your Trigonometry videos are very useful in my exams...
Thanks for such great ideas 💡 😀 👍

[tanzeemkhan]

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

[seemarathore]

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

[passion_zest_ambition_SUCCESS]

U re reelay dam nice teacher.... Hm backbenchers ka bhala krne k liye dil s shukliya gurujii.... 🙏🙏
Backbenchers legends tag krna nah bhule... 😂😂

[shreyverma]

I have my maths exam tmrw been doing this quadrant in coaching for months but couldn't understand but aapko video dekhli 5 min main it's very very efficient. Ur gr8 ❤️

[spoifyy._.]

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.🙏⚡

[niravmaru]

" All S T C " is best for remembering.

[AnushkaKumari-ic]

Wow you are the best teacher of trigonometry❤😊

[Laptopreacts]

sin 120= sin 90 * 1 + 30 ...sin 120 belongs in 2nd quadrant which means it is positive ..however as 1 is odd, we change from sin to cos, so it becomes +cos 30 and value of cos 30 is root 3/2

[hijiemoji]

Sir how to find the value of tan, sin, cos of any acute angle like tan20, tan 25, sin 79 without using there is any way pls tell me sir ...or tell me the method that calculators use to find any value of sin, tan and cos sir

[vas]

Sir, I am a PCM student in class 11th and I really struggled with this concept at school, since we were never really taught about it... Thank you so much for the best explanation of this concept!

[manashdeka]

In school I can't understand but in your channel i understand this. 💕

[ravi_here]

Lets Derive Is the Best Channel of study.👍💚❤ Thank you sir.

[bvs.ravikumar]

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

[nishantnavneet]

Sir can we say that sin (120°)= sin(60°+60°) u please make another video on this