Tanisha Pal Singh

26 Nov 2018

Law of sines can be used to find lengths and angle measures for any triangle.

Sin A÷ a= sin B÷ b= sin C=÷ c

Tanisha Pal Singh

26 Nov 2018

I am thankful for such a great teachers I have in school. I am also thankful to my parents because we visited Orlando Disneyworld and universal studios and also Miami in our Thanksgiving holidays.

This picture includes me and my parents doing a ride. I am the one in the red jacket.

Tanisha Singh

15 nov 2018

1). Tan(44)= x÷ 23

0.965= x÷23

x= 0.965× 23

x= 22.195 feet is the height of the flagpole.

2) Sin theta= 16÷36

Sin theta= 0.444

Theta= Sin^-1 ( 0.444)

Theta= 26.359° is the angle of depression.

Tanisha Pal Singh

7 Nov 18

Trigonometric ratios –

We have been given theta as 57, adjacent as 6 and opposite as x. We have to find out the x. So we will have to think of a trigonometric ratio in which opposite and adjacent comes.

Tan 57= x÷ 6

1.539= x=÷6

X=1.539×6

X= 9.234 is the opposite.

Inverse trigonometry ratio –

We have to find out the theta which will be x, we have been given hypotenuse as 24 and opposite as 15. So- Sin x= 15÷24

Sin x= 0.625

X= 38.628

Tanisha Pal Singh

1st Block

1 Nov 2018

Inverse trigonometric ratios helps us find the missing angle called theta. For example, if opposite is 16, adjacent is 20 and hypotenuse is 31 and we have to go find the angle opposite to line of length 16.

Sin theta = 16÷ 31

Sin theta = 0.516

Theta= Sin^-1( 0.516)

Theta= 31.064

Tanisha Pal Singh

Trigonometry comes from two words- Trigon means triangle and Metron means measure.

Sine = opposite/ hypotenuse

Cosine= adjacent/ hypotenuse

Tangent= opposite/ adjacent

Angle opposite to 90° is hypotenuse.

In a right angled triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. The longest side is called the hypotenuse, the side opposite to it, is called perpendicular and the side adjacent to hypotenuse is called base.

TANISHA PAL SINGH

10 GRADE

ADVANCE GEOMETRY

1. ROTATION- 90 COUNTERCLOCKWISE- (4,-1) Rule for 90 Counterclockwise= (x ,y)- (-y , x)= We will flip the x and y= (-1, 4) and then multiply -1 by -1 which will be 1 and x will remain the same=( 1, 4) is the answer.

2) LINEAR MEASURE- FIND BD IF BC= 16.8 mm AND CD= 50.4 mm. ANSWER- BC = 16.8 mm and CD= 50.4mm then BD= 16.8mm + 50.4mm= 67.2mm

3) DISTANCE- FIND THE DISTANCE BETWEEN L( -7 , 0) AND Y (5, 9)

Answer- Formula to find distance- √( X2 – X1) + ( Y2 – Y1)

√( 5- (-7) + ( 9-0)=√( 12+9) = √21

4) REFLECTION- REFLECTION OVER Y= X

RULE = FLIP X AND Y= (X ,Y)= ( Y, X)

(-3, 0)= (0, -3) , (-4, 5)= (5, -4) , (-7, 5)= (5, -7) , (-6,6)= (6, -6)

Hey

Thanks for joining me!

Good company in a journey makes the way seem shorter. — Izaak Walton