All categories

3 years ago

Find the value of cos 28°cos 62°– sin 28°sin 62°

Mathematics

1 answer:

Romashka [77]3 years ago

8 0

<h2>Answer:</h2>

cos 28°cos 62°– sin 28°sin 62° = 0

<h2>Step-by-step explanation:</h2>

From one of the trigonometric identities stated as follows;

cos(A+B) = cosAcosB - sinAsinB -----------------(i)

We can apply such identity to solve the given expression.

Given:

cos 28°cos 62°– sin 28°sin 62°

Comparing the given expression with the right hand side of equation (i), we see that;

A = 28°

B = 62°

∴ Substitute these values into equation (i) to have;

⇒ cos(28°+62°) = cos28°cos62° - sin28°sin62°

Solve the left hand side.

⇒ cos(90°) = cos28°cos62° - sin28°sin62°

⇒ 0 = cos28°cos62° - sin28°sin62° (since cos 90° = 0)

Therefore,

cos28°cos62° - sin28°sin62° = 0

You might be interested in

Javier walks from his house to the zoo at a constant

Otrada [13]

Answer:

Congrats?

Step-by-step explanation:

I don´t understand the question

8 0

3 years ago

Trisha helped clean up her neighborhood by picking up plastic she collected 3/4 pound of plastic the first day and 1/6 pound of

AysviL [449]

She collected more 1/3 pounds on the first day

7 0

3 years ago

All six printing machines together can print 222 pages in a minute how many pages can each machine print per hour

Furkat [3]

The answer should be 13,320

4 0

2 years ago

The height, h, in feet of a gold ball above the ground after being hit into the air is given by the equation. H=-16t2+64t, where

stiv31 [10]

Answer:

4 seconds

Step-by-step explanation:

Given : $H = -16t^{2} +64t$

To Find: How many seconds does it take for the golf ball to hit the ground?

Solution :

Since we are given an equation : $H = -16t^{2} +64t$

Where H denotes height

t denotes the number of seconds elapsed since the ball was hit.

When he golf ball to hit the ground at that time the height becomes 0

So, put H = 0 in the equation

$H = - 16t^{2} +64t$

$0 = - 16t^{2} +64t$

$16t^{2} = 64t$

$16t = 64$

$t =\frac{64}{16}$

$t =4$

Thus it take 4 seconds for the golf ball to hit the ground

4 0

3 years ago

A pendulum is 45 cm long. When it swings, it travels along the arc of a circle and covers a distance of 27.5 cm. Calculate the a

11Alexandr11 [23.1K]

Answer: The angle through which the pendulum travels = $35^{\circ}$ .

Step-by-step explanation:

Formula: Length of arc: $l= r\theta$ , where r= radius ( in radians) , $\theta$ = central angle.

Given: Length of pendulum (radius) = 45 cm

Length of arc= 27.5 cm

Put these values in the formula, we get

$27.5=45\theta\\\\\Rightarrow\theta=\dfrac{27.5}{45}=\dfrac{275}{450}\\\\\Rightarrow\ \theta=\dfrac{11}{18}\text{ radians}$

In degrees ,

$\theta=\dfrac{11}{18}\times\dfrac{180}{\pi}=\dfrac{110\times7}{22} \ \ \ \ [\pi=\dfrac{22}{7}]$

$\theta=35^{\circ}$

Hence, the angle through which the pendulum travels = $35^{\circ}$ .

4 0

3 years ago

Find the value of cos 28°​cos 62°​– sin 28°​sin 62°​

Find the value of cos 28°cos 62°– sin 28°sin 62°