2 years ago

Tan22° + tan23° tan22°. tan23° = 1 prove that

Mathematics

1 answer:

inysia [295]2 years ago

5 0

Answer:

Formula:(from trigonometry)

Tan(A+B)=(tanA+tanB)/(1-tanA*tanB)

Let A=22 degrees,B=23 degrees

Tan(22+23)=(tan22+tan23)/(1-tan22*tan23)

From trigonometry we know tan45=1

Therefore tan(45)=1=(tan22+tan23)/(1-tan22tan23)

=> 1-tan22tan23=tan22+tan23

=> tan22+tan23+tan23tan22 =1

Hence proved

You might be interested in

Describe the key features of polynomial function

Oksi-84 [34.3K]

Answer:

Zeros: x = 1 , − 2 , 2 End Behavior: Falls to the left and rises to the right.

Y-intercept: (0,4)

Step-by-step explanation:

mark me brainliest

3 0

3 years ago

In physics, we can find the amount of force needed to push or pull an object by multiplying the object’s mass by the object’s ac

MariettaO [177]

750 X 2.5 =1875

Hope this helps!

8 0

3 years ago

Read 2 more answers

Find the length of AB when A(-4,1) and B(3,-1). Round to the nearest tenth (one decimal place) if necessary.

ivanzaharov [21]

Answer:

7.3 units is the answer rounded

8 0

3 years ago

Write two numbers, neither of which are 8, they have a GCF of 8

Temka [501]

Answer:

16, 24

Step-by-step explanation:

1 List the factors of each number.

Factors of 16 : 1, 2, 4, 8, 16

Factors of 24 : 1, 2, 3, 4, 6, 8, 12, 24

2 Find the largest number that is shared by all rows above. This is the GCF.

GCF = 8

7 0

3 years ago

Write the product as a trinomial. (x + 2)(x + 4)

11111nata11111 [884]

Use: (a + b)(c + d) = ac + ad + bc + bd

$(x+2)(x+4)=(x)(x)+(x)(4)+(2)(x)+(2)(4)=x^2+4x+2x+8=x^2+6x+8$

Answer: d. x² + 6x +8

7 0

3 years ago

Tan22° + tan23° tan22°. tan23° = 1 prove that ​

Tan22° + tan23° tan22°. tan23° = 1 prove that