If sin 42° =2/3, then cos 48°=

Mathematics

2 answers:

Delvig [45]3 years ago

7 0

Sinα=cos(90-α) is a basic identity.

if sin42=2/3 then cos(90-42)=2/3 as well (90-42=48)

borishaifa [10]3 years ago

5 0

We know that: sin Ф = cos(π/2 - Ф) ↔ sin Ф = cos(90° - Ф)
Then:

sin 42° = cos(90° - 42°) = cos 48°

IF sin 42° = 2/3, the cos 48° = 2/3

You might be interested in

Which of the following statements will always hold true?

lara [203]

Answer:

<h2>The constant growth valuation formula is not appropriate to use unless the company’s growth rate is expected to remain constant in the future.</h2>

Step-by-step explanation:

The value of a stock can be calculated with the <em>constant growth valuation formula</em>, but it's mandatory that the stock has to have a constant growth, because it depends on this rate. Actually, the present value of a stock is calculated with this formula <em>when it can be assumed that its growth is constant.</em>

On the other hand, if the stock value is zero, if it has no growth at all, then, this formula can't be applied, because this variable will be missing.

If you see the image attached, you're gonna look for <em>'g'</em>, which represents the growth rate.

8 0

3 years ago

Which graph shows the solution to the system of linear inequalities?<br> y< 2x-5<br> y>-3x + 1

trapecia [35]

Answer:

See explanation

Step-by-step explanation:

Plot the solution sets to both inequalities.

1. For the inequality $y$ First, plot the dotted line $y=2x+5$ (dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.

$2\cdot 0-5=-5$

so the origin does not belong to the needed part. Shade the part, which does not include origin.

2. For the inequality $y>-3x+1.$ First, plot the dotted line $y=-3x+1$ (dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.