All categories

3 years ago

Simplify : 9 Sin A +3 cosec A + 10sin A- 13 CosecA

Mathematics

1 answer:

Shtirlitz [24]3 years ago

6 0

Answer:

19Sin A - (10/sin A)

Step-by-step explanation:

We want to simplify;

9Sin A + 3cosec A + 10sin A - 13Cosec A

Let's rearrange it for ease of addition;

(9Sin A + 10sin A) + (3cosec A - 13Cosec A)

>> 19Sin A - 10cosec A

Now, from trigonometric ratios, we know that; Cosec A = 1/Sin A

Thus; 10cosec A = 10/sin A

Thus, we now have;

19Sin A - (10/sin A)

You might be interested in

Which options identify the main oceans zone? Check all that apply

Ierofanga [76]

Answer:

Step-by-step explanation:

There are four important oceanic zones where plants and mammals survive in the ocean. The four significant zones are open ocean zone, intertidal zone, neritic zone, and benthic zone.There are four ocean zones. The sunlight zone, twilight zone, midnight zone, and abyssal zone.

3 0

3 years ago

Read 2 more answers

Number 10, please help

ololo11 [35]

Answer:

case sensitive

Step-by-step explanation:

python is case sensitive

mark me brainliest pls

3 0

2 years ago

Prove the formula for (d/dx)(cos−1(x)) by the same method as for (d/dx)(sin−1(x)). Let y = cos−1(x). Then cos(y) = and 0 ≤ y ≤ π

gtnhenbr [62]

Answer:

$\frac{d(cos^{-1}x )}{dx} = \frac{-1}{\sqrt{1-x^2} }$

Step-by-step explanation:

Given the differential (d/dx)(cos−1(x)), to find the equivalent formula we will differentiate the inverse function using chain rule as shown below;

let;

$y = cos^{-1} x \\\\taking \ cos\ of\ both\ sides\\\\cosy = cos(cos^{-1} x)\\\\cosy = x\\\\x = cosy\\\\\frac{dx}{dy} = -siny\\$

$\frac{dy}{dx} = \frac{-1}{sin y} \\\\from\ trigonometry\ identity,\ sin^{2} x+cos^{2}x = 1\\sinx = \sqrt{1-cos^{2} x}$

Therefore;

$\frac{dy}{dx} = \frac{-1}{\sqrt{1-cos^{2}y } }$

Since x = cos y from the above substitute;

$\frac{dy}{dx} = \frac{-1}{\sqrt{1-x^{2}} }$

Hence, $\frac{d(cos^{-1}x )}{dx} = \frac{-1}{\sqrt{1-x^2} }$ gives the required proof

5 0

4 years ago

Choose the situation in which the use of approximate numbers is most appropriate.

Ostrovityanka [42]

A.

Getting an exact number for gravel is difficult because it spills and the ground is not usually perfectly level. Thus it would be okay to estimate the amount needed.

3 0

3 years ago

Solve the literal equation for y.<br><br> 2x+5y = 3y+8

ozzi

Answer:

y = -x +4

Step-by-step explanation:

2x+5y = 3y+8

Subtract 3y from each side

2x+5y-3y = 3y-3y+8

2x+2y = 8

Subtract 2x from each side

2x+2y -2x = -2x+8

2y = -2x+8

Divide by 2

2y/2 = -2x/2 +8/2

y = -x +4

4 0

3 years ago

Simplify : 9 Sin A +3 cosec A + 10sin A- 13 CosecA​

Simplify : 9 Sin A +3 cosec A + 10sin A- 13 CosecA