TRIGONOMETRY

Question 1

FATHER OF TRIGO

Answer 1

Hipparchus

Question 2

TRIANGLE WITH 2 EQUAL SIDES

Answer 2

ISOSCLES TRIANGLE

Question 3

TRIANGLE WHERE ALL SIDES ARE EQUAL

Answer 3

EQUILATERAL TRIANGLE

Question 4

TRIANGLE WITH NO EQUAL SIDES

Answer 4

SCALENE TRIANGLE

Question 5

ALL THREE INTERNAL ANGLE IS LESS THAN 90 DEGREE

Answer 5

ACUTE TRIANGLE

Question 6

ONE INTERNAL ANGLE IS 90 DEGREE

Answer 6

RIGHT TRIANGLE

Question 7

ONE INTERNAL ANGLE IS GREATER THAN 90 DEGREE

Answer 7

OBTUSE TRIANGLE

Question 8

Tan^2(θ) + 1 =? & Cot^2(θ) +1 =?

Answer 8

=Sec^2 (θ) & =Csc^2(θ)

Question 9

Sin(A±B)= ? & Cos(A±B0 = ?

Answer 9

=Sin(A)Cos(B)±Cos(A)Sin(B)

=Cos(A)Cos(B)∓Sin(A)Sin(B)

Question 10

Tan(A±B)=?

Answer 10

=(TanA±TanB)/1∓TanATanB

Question 11

Sin2θ=? & Cos2θ=?

Answer 11

=2SinθCosθ

=Cos^2(θ)-Sin^2(θ)

Question 12

Tan^2θ=?

Answer 12

2Tanθ/(1-Tan^2(θ))

Question 13

WHATI IS THE FORMULA OF SINE LAW AND WHEN IS IT USED.

Answer 13

• 2 SIDES AND ONE OPPOSITE ANGLE
  OR
• 2 ANGLE AND ONE OPPOSITE SIDE

formula:
a/SinA= b/SinB = c/SinC

Question 14

WHAT IS THE FORMULA FOR COS LAW AND WHEN IS IT USED

Answer 14

*TWO SIDES AND AN INCLUDED ANGLE
OR
*THREE SIDES

FORMULA:
a^2= b^2 + c^2 - 2bcCosA
b^2= a^2 + c^2 - 2acCosB
c^2= a^2 + b^2 - 2abCosC

Question 15

formula for AREA OF TRIANGLE! given 2 sides and an angle

Answer 15

A=1/2abSinθ

Question 16

formula for area of triable! given 3 sides only.

Answer 16

use semi-perimeter formula where s=(a+b+c)/2

then A = √[s(s-a)(s-b)(s-c)]

A.K.A HERON’S FORMULA

Question 17

INSCRIBE MEANS?

Answer 17

“INSIDE”

A TRIANGLE INSCRIBED IN A CIRCLE MEANS THAT THE TRIANGLE IS DRAWN “inside” the circle.

Question 18

what is the formula of the radius of a circle that has a triangle inscribed in it.

Answer 18

r= (abc)/(4A)
A= is the area of the triangle.
r= radius of circle

Question 19

what is the formula of the radius of a circle that has am equilateral triangle inscribed in it.

Answer 19

r=(a√3)/3

a= 1 side of the triangle.

Question 20

what is the formula of the radius of a circle that has a right triangle inscribed in it.

Answer 20

r= hypotenuse /2

Question 21

CIRCUMSCRIBE MEANS?

Answer 21

“OUTSIDE” SHAPE

Question 22

WHAT IS THE FORMULA FOR THE RADIUS OF A CIRCLE THAT IS INSCIRBED IN A TRIANGLE, OR CIRCUMSCRIBED BY A TRIANGLE.

Answer 22

r=2A/a+b+c

A= area of triangle

Question 23

WHAT IS THE FORMULA FOR THE RADIUS OF A CIRCLE THAT IS INSCIRBED IN AN EQUILATERAL TRIANGLE.

Answer 23

r=(L√3)/6

L= length of one side

Question 24

WHAT IS THE FORMULA FOR THE RADIUS OF A CIRCLE THAT IS INSCIRBED IN A right triangle

Answer 24

r= (ab)/(a+b+c)

Question 25

escribed means????

Answer 25

A CIRCLE DRAWN OUTSIDE A TRIANGLE THAT IS TANGENT TO ONE SIDE OF THE TRIANGLE

“LIKE A CIRCLE LEANING IN A TRIANGLE”

Question 26

AREEA OF THE TRIANGLE ESCRIBE IN/WITH/BESIDE A CIRCLE

Answer 26

Area of triangle= A = r(s-a)
s= half the perimeter of a triangle.
a= side the circle is leaning against.

Question 27

6 recirprovcal identites
sin
cos
tan
cot
sec
csc

Answer 27

sinθ=1/csc
cosθ=1/sec
tanθ=1/cot
cotθ=1/tan
secθ=1/cos
cscθ= 1/sin

Question 28

3 phytagorean identity (triigonometric identity)

Answer 28

sin^2θ + cos^2θ =1
1 + tan^2 θ = sec^2 θ
1 + cot^2 θ = csc^2 θ