All categories

3 years ago

If tan2A=cot(A+60), find the value of A, where 2A is an acute angle

Mathematics

1 answer:

jeka57 [31]3 years ago

7 0

Answer:

Here the answer is 10=a

Step-by-step explanation:

= Tan 2A = cot(A+60°)

= cot(90-2A) = cot (A+60°)

= 90°-2A = A+60°

= 90°-60° =A+2A

= 30 = 3A

= 30\3 = A

= 10 = A

Hope it helps you and plz mark as brainliest..☺

You might be interested in

If 5r + 6 < 36, then a) r<6 b) r<8 c) r<12 d) r<30 e) not given

Irina18 [472]

The answer is r<6

yycjj. hgxs tfdg

4 0

3 years ago

Which angle is the included angle for DE and FE ? D E F

Tasya [4]

angle for DE and FE is <E

answer
E

4 0

3 years ago

Read 2 more answers

How many times does 3 go into 8?

kupik [55]

Two times because 3,6

3 0

3 years ago

Congruent triangles pls help

Harrizon [31]

Congruent triangle are the same shape and same size exactly

8 0

3 years ago

The decreasing population, p, of owls in a national park is being monitored by ecologists and is modeled by the equation p=−0.

n200080 [17]

By solving a quadratic equation, it can be verified that

The owl population will disappear after 329.12 years

What is a quadratic equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A two degree equation is known as quadratic equation.

Here, a quadratic equation needs to be solved

The decreasing population, p, of owls in a national park is being monitored by ecologists and is modeled by the equation p= $-0. 4t^2+128t+1,200$

For population to disappear, p =0

$-0. 4t^2+128t+1,200 = 0\\0.4t^2 -128t - 1200 = 0\\4t^2 - 1280t - 12000 = 0\\4(t^2 - 320 t - 3000) = 0\\t^2 - 320t -3000 = 0\\t = \frac{-(-320)\pm \sqrt{(-320)^2 - 4 \times 1 \times (-3000)}}{2 \times 1}\\t = \frac{320 \pm 338.23}{2}\\t = \frac{320 + 338.23}{2} \ or \ t = \frac{320 - 338.23}{2}\\t = 329.115 \ or \ t = -9.115$

But t = -9.115 is not possible as time cannot be negative

So, the owl population will disappear after 329.12 years

To learn more about quadratic equation, refer to the link-

brainly.com/question/1214333

#SPJ4

7 0

1 year ago