Welcome to class of TRIGONOMETRY

Standards: Trigonometry This STAIR is designed to teach student the concept of trigonometry ratio of Sine, Cosine, Tangent. Demonstrate an understanding of trigonometric functions. Demonstrate the use of sine, cosine, and tangent as a similarity ratio to solve real- world right triangle problems.

Some basic instruction which you have to follow so that you can navigate this StAIR easily. These are some button you will be using that will help you to move easily about this StAIR. Click on them to find the result. This connects you to the first slide. Usually to the next slides or depends on t situation. back to the previous slide.

In a right angled triangle Sine of an angle is defined as ratio of opposite side by hypotenuse Sine = Opp side Hypo oppositeopposite Hypotenuse Adjacent side

Sine in term of length side remember it is ratio of opposite side to Hypotoneous A B C Sin C = length AB length AC Sin C = AB AC Sin A = length BC length AC

Cosine of an angle in terms of sides Cos = Adj side Hypo oppositeopposite Hypotoneous Adjacent side

Cosine in terms of length of the side that is the ratio of adjacent side to Hypotoneous A B C Cos A = length AB length AC Cos C = length BC length AC Sin C = AB AC

Tangent of an angle is defined as Tan = Opp side Adj side oppositeopposite Hypotoneous Adjacent side

Tan of angle in term of length side A B C Tan C = length AB length BC Sin C = AB AC

What Sine of angle R ? P Q R Sin R = length length Sin C = AB AC

Choose the right answer by clicking 1) PQ PR 2) QR PR Select

Hey you got it right !!!!!!!!!!!!! So let me give another question.

Sorry you wrong Sorry you wrong You need to learn the whole concept one more time dear. Try out this video may be it help you understand it better.learntime Try AgainAgain

What Tan of angle R ? P Q R Tan R = length length Sin C = AB AC

Choose the right answer for Tan R 1) PQ QR 2) PR QR Click clickClick

Hey you understood lets try something more interesting

Relearn the same concept in new way

What Cos of angle R ? P Q R Cos R = length length Sin C = AB AC

Choose the right answer by clicking 1) QR PR 2) PQ QR Click

Well done ! Try something new....

Please observer this triangle and identify some patterns P B A CQ R x Y Z Sin B = AC AB Sin R = PQ PR Sin Y = XZ XY

In a right angled triangle Sine of an angle is defined as click the right answer 1) Sine = Opp side Hypotenuse oppositeopposite Adjacent side 2) Sine = Adjacent side Hypotenuse Click

Hey you understood it great!!! try out this question

Please observer this triangle and identify some patterns P B A CQ R x Y Z Cos B = BC AB Cos P = PQ PR Cos Y = YZ YX

Cosine of an angle Choose by clicking the right option 1)Cos = Opp Side Hypo “” 2) Cos= Adj Side Hypo Opposite Opposite Hypotoneous Adjacent side Click

Observe this triangle and identify some patterns P B A CQ R x Y Z Tan B = AC BC Tan R = PQ QR Tan Y = XZ YZ

In a right angled triangle Tan of an angle is defined as click at the right answer 1) Tan = Opp side Hypotenuse oppositeopposite Adjacent side 2) Tan = Adjacent side Opposite side Click

Yes your getting it. Lets try out some word problem in trigonometry....

I am sorry you need to relearn...

After learning the concept of basic trigonometry lets do some of it`s application in real world.... Two poles of height 18 meters and 7 meters are erected on the ground. A wire of length 22 meters ties the tops of the poles. Find the angle made by the wire with the horizontal ?

A C E B D

Observe this pole in terms of right angled triangle and trigonometry ratio A A C E B DDDDDD D CE B 18 m 22 m 7 m

Solution to the above problem In right angled triangle AEC Sin ACE = AE AC Sin ACE = Sin ACE 1 2

So this way trigonometry can solve every day problems Sin 30 = 1 2 There fore m ACE = 30˚

So final quiz Tan = opposite side Hypotoneous Cos = Adjacent side Hypotoneous Sin = Opposite Side Hypotoneous Click

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