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3 years ago

Sin²t/tan^2t =Cos^2t

Mathematics

1 answer:

gregori [183]3 years ago

3 0

The answer is cost of 2t

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If cosθ=2/3 find cscθ using identities. This is in quad. 1.

laiz [17]

Step-by-step explanation:

cos θ = 2/3

$\quad \twoheadrightarrow\sf {cos \; \theta = \dfrac{Base}{Hypotenuse} } \\$

Hence, base = 2 units and hypotenuse = 3 units.

$\quad \twoheadrightarrow\sf { H^2 = B^2 + P^2} \\$

$\quad \twoheadrightarrow\sf { P^2 = H^2 - B^2} \\$

$\quad \twoheadrightarrow\sf { P^2 = (3)^2 - (2)^2} \\$

$\quad \twoheadrightarrow\sf { P^2 = 9- 4} \\$

$\quad \twoheadrightarrow\bf { P = \sqrt{5}} \\$

Now, we know that :

$\quad \twoheadrightarrow\sf {cosec \; \theta = \dfrac{Hypotenuse}{Perpendicular} } \\$

$\quad \twoheadrightarrow\bf{cosec \; \theta = \dfrac{3}{\sqrt{5}} } \\$

Therefore, the required answer is 3/√5.

4 0

2 years ago

Part 1

andreev551 [17]

Answer:

see explanation

Step-by-step explanation:

Part 1

The n th term of a geometric sequence is

$a_{n}$ = a $(r)^{n-1}$

where a is the first term and r the common ratio

Given $a_{6}$ = 128, then

a $(2)^{5}$ = 128, that is

32a = 128 ( divide both sides by 32 )

a = 4 ← first term

Part 2

$a_{21}$ = 4 $(2)^{20}$ = 4 × 1048576 = 4194304

6 0

3 years ago

Dos triángulos son semejantes, si sus ángulos son iguales y sus lados proporcionales. Verdadero o falso?

iren2701 [21]

Answer: verdadero.

Step-by-step explanation:

En geometría se dice que dos figuras son semejantes si tienen la misma forma pero no necesariamente el mismo tamaño.

Ahora, lo que define la forma de un triángulo son sus ángulos, entonces si dos triángulos tienen los mismos ángulos, estos triángulos van a tener la misma forma.

Y los lados siendo proporcionales entre ellos (recordar que una relación proporcional es y = k*x) habla de la relación entre los tamaños de los dos triángulos.

Entonces si, "dos triángulos son semejantes, si sus ángulos son iguales y sus lados proporcionales" es verdadero.

5 0

3 years ago

A Carpenter who is installing cabinets uses thin pieces of material called shims to fill gaps. the carpenter uses four shims to

daser333 [38]

Answer: .235

Step-by-step explanation:

Total Distance - Shim 1 - Shim 2 - Shim 3 = Shim4

1.2 cm - 0.75 cm - 0.125 - 0.09 cm = 0.235 cm

4 0

3 years ago

If you deposit 1000 in a savings account with an intrest rate of r compounded annually then the balance in the account after 3 y

deff fn [24]

Answer:

3.23%

Step-by-step explanation:

The rate is acquired from 1100 = (1+r)^3 *1000. then r is equal to 3.23%.

7 0

3 years ago