The answer is cot² ∅ - csc² ∅ = -1
Referring to Pythagorean identities:
sin² ∅ + cos² ∅ = 1
1+cot² ∅ = csc² ∅
tan² ∅ + 1 = sec² ∅
1+cot² ∅ = csc² ∅
⇒ transposing 1 and csc² ∅ we will have now
cot² ∅ - csc² ∅ = -1
Answer:
43°
Step-by-step explanation:
The sum of all internal/interior angles of a triangle is always equal to 180°
Because of this, if the missing angle is x we can write the equation:
82°+55°+x=180° since the interior angles are given
Add like terms:
⇒ 137°+x=180°
Subtract 137:
⇒ x=43°
Answer:
132°
Step-by-step explanation:
Quadrilateral ABCD is inscribed in a circle,
So, it is a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
(3x-12)° = (3*48 - 12)° = (144 - 12)° = 132°
The answer is 10:40
so 1:4
add it up
1+4=5
so 5 total units
$50=5 units
divide by 5
$10=1 unit
so 1:4=10:10 times 4=10:40
the answer is 10:40
Answer:
Step-by-step explanation:
2(63+4x+3)=276
4x+66=138
4x=72
x=18
AD=BC
AD=4x+3, using x=18 found earlier
AD=4(18)+3
AD=72+3
AD=75
