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3 years ago

Please help me sec theta - cos theta= sin^2 theta/ cos theta

Mathematics

2 answers:

inn [45]3 years ago

6 0

Answer:

Taking LHS

=1 by cos theta- cos theta

= (1- cos²0)/ cos0

= sin²0/ cos0 ( because 1-cos²0 is also equals to sin²0)

=RHS hence proved

kotykmax [81]3 years ago

3 0

Answer:

Step-by-step explanation:

Let theta be β.

So,

$sec\beta - cos\beta = \frac{sin^2\beta }{cos\beta } \\=>\frac{1}{cos\beta } - cos\beta = \frac{1 - cos^2\beta }{cos\beta } \\=>\frac{1 - cos^2}{cos\beta } = \frac{1 - cos^2\beta }{cos\beta }$

Here , identity used = $sin^2\beta + cos^2\beta = 1$

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Mohammad divide Rs 82000 into two parts such that the amounts at 5% per annum compound interest in 2 years and 3 years are equal

lara [203]

Answer:

Rs 42000 and Rs 40000

Step-by-step explanation:

Given that Rs 82000 is divided into two parts.

Let the first part be Rs x which is compounded annually at the interest of 5% per annum for 2 years.

The rate of interest = 5%=0.05

The total amount after 2 years $= x(1+0.05)^{2}\cdots(i)$

The other part is Rs 82000-x which is compounded annually at the interest of 5% per annum for 3 years.

The total amount after 3 years $= (82000-x)(1+0.05)^{3}\cdots(ii)$

As both the amounts are equal, so from equation (i) and (ii)

$x(1+0.05)^{2}=(82000-x)(1+0.05)^{3} \\\\x(1.05)^{2}=82000(1.05)^{3} -x(1.05)^{3} \\\\x(1.05^2+1.05^3)=82000\times 1.05^3 \\\\x(2.260125)=94925.25 \\\\x=94925.25/2.260125 \\\\$

x= 42000

And the other part = 82000-42000 = Rs 40000

Hence, he divides the money as

Rs 42000 at 5% per annum compound interest in 2 years and

Rs 40000 at 5% per annum compound interest in 3 years.

4 0

2 years ago

Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test. A consume

Ivan

Answer:

Type I error: Concluding that mean mileage is less than 32 miles per hour when actually it is greater than or equal to 32 miles per gallon.

Step-by-step explanation:

We are given the following in the question:

Hypothesis:

Mean mileage for the Carter Motor Company's new sedan

We can design the null hypothesis and alternate hypothesis as:

$H_{0}: \mu \geq 32\text{ miles per gallon}\\H_A: \mu < 32\text{ miles per gallon}$

Type I error:

It is the false positive error.
It is the error of rejection a true hypothesis.

Type II error:

It is the false negative error.
It is the non rejection of a false null hypothesis.

Thus, type I error for the given hypothesis is concluding that mean mileage is less than 32 miles per hour when actually it is greater than or equal to 32 miles per gallon.

Type II error would be concluding that mean mileage is greater than or equal to 32 miles per gallon when actually it is less than 32 miles per gallon.

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3 years ago

The sum of three consecutive even numbers is 168. What is the smallest of the three numbers?

Zanzabum

Answer:

Step-by-step explanation:

8 0

3 years ago

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vazorg [7]

Answer: