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3 years ago

What is the basic trigonometric identity you would use to verify that sec x sin x= tan x

Mathematics

1 answer:

mariarad [96]3 years ago

3 0

secx=1/cosx

1. To solve this problem you must apply the following proccedure:

2. You have to verify if secx sinx=tanx, so, you have:

3. You know that secx=1/cosx, and tanx=sinx/cosx, therefore:

(secx)(sinx)

(1/cosx)(sinx)

sinx/cosx

tanx

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6) Two coastguard stations P and Q are 17km apart, with due East of P. A ship S is observed in distress on a bearing 048° fromP

adelina 88 [10]

Answer:

The ship S is at 10.05 km to coastguard P, and 12.70 km to coastguard Q.

Step-by-step explanation:

Let the distance of the ship to coastguard P be represented by x, and its distance to coastguard Q be represented by y.

But,

<P = 048°

<Q = $360^{o}$ - $324^{o}$

= 0 $36^{o}$

Sum of angles in a triangle = $180^{o}$

<P + <Q + <S = $180^{o}$

048° + 0 $36^{o}$ + <S = $180^{o}$

$84^{o}$ + <S = $180^{o}$

<S = $180^{o}$ - $84^{o}$

= $96^{o}$

<S = $96^{o}$

Applying the Sine rule,

$\frac{y}{Sin P}$ = $\frac{x}{Sin Q}$ = $\frac{z}{Sin S}$

$\frac{y}{Sin P}$ = $\frac{z}{Sin S}$

$\frac{y}{Sin 48^{o} }$ = $\frac{17}{Sin 96^{o} }$

$\frac{y}{0.74314}$ = $\frac{17}{0.99452}$

⇒ y = $\frac{12.63338}{0.99452}$

= 12.703

y = 12.70 km

$\frac{x}{Sin Q}$ = $\frac{z}{Sin S}$

$\frac{x}{Sin 36^{o} }$ = $\frac{17}{Sin 96^{o} }$

$\frac{x}{0.58779}$ = $\frac{17}{0.99452}$

⇒ x = $\frac{9.992430}{0.99452}$

= 10.0475

x = 10.05 km

Thus,

the ship S is at a distance of 10.05 km to coastguard P, and 12.70 km to coastguard Q.

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3 years ago

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Are the dimensions 8yd x 8yd x 8yd? If so this is how you do:

First calculate the area or one side. Then multiply it by 6 as all the sides of the cube have the same area.

Side area = 8yd x 8yd = 64yd^2

Surface area = 6 x 64yd^2 = 384yd^2

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3 years ago

A recycling plant processes an average of 1/3 ton of glass each minute. At approximately what rate does the recycling plant proc

ludmilkaskok [199]

The recycling plant processes 480 tons of glass per day.

Step-by-step explanation:

Quantity of glass recycled each minute = $\frac{1}{3}\ tons$

We know that;

1 hour = 60 minutes

Therefore;

Quantity of glass recycled in one hour = $\frac{1}{3}*60=20\ tons$

1 day = 24 hours

Quantity of glass recycled in 24 hours = 24*20 = 480 tons

The recycling plant processes 480 tons of glass per day.

Keywords: multiplication, fraction

Learn more about fractions at:

#LearnwithBrainly

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3 years ago

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Answer:

$24

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200% of 12 is 24

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If you think about this equation as a line, then in order to have an infinite number of solutions is to have another equation that describes the same line.

So, for example 3y=2x-15 would be one of those.

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What is the basic trigonometric identity you would use to verify that sec x sin x= tan x​

What is the basic trigonometric identity you would use to verify that sec x sin x= tan x