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3 years ago

Simplify 1-sin^2 theta/cos^2 theta

Mathematics

2 answers:

Talja [164]3 years ago

8 0

Step-by-step explanation:

$\text{We know:}\ \sin^2x+\cos^2x=1\to\cos^2x=1-\sin^2x\\\\\dfrac{1-\sin^2\theta}{\cos^2\theta}=\dfrac{\cos^2\theta}{\cos^2\theta}=1$

Illusion [34]3 years ago

4 0

Answer:

Step-by-step explanation:

( 1 - sin^2 O ) / cos^2 O

Now 1 - sin^2 O = cos^2 O

So the function becomes cos^2 O / cos^2 O

= 1.

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Please help and thanks!~ ~~~~~~~~~~~~~~~~~~~~~~~ 20 points!~

andriy [413]

In the first one divide -3 by both sides and when you get an answer plug it back in for x to check and got second one multiple bu four on both sides and you will get an answer. And put that answer on the graph.

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3 years ago

Estimate the sum of the decimals below by rounding to the nearest whole

Tamiku [17]

Answer:

Step-by-step explanation:

to round to nearest whole number if its .5 or above you go up 1. If it's .4 or below you go down 1.

2.414=2

8.160=8

2.621=3

add

2+8+3=13

if you just added the decimals you would get: 13.195. (This shows you have a good estimate.)

7 0

2 years ago

Tanya is training a turtle for a race. For every 1/2 of an hour that the turtle is crawling, he can travel 3/20 of a mile. At wh

vazorg [7]

Answer:

$\frac{6}{20} \ mile\ per\ hour$

Step-by-step explanation:

Given:

For every 1/2 of an hour that the turtle is crawling, he can travel 3/20 of a mile

Question asked:

At what unit rate is the turtle crawling?

Solution:

As here time taken is given and the distance traveled is also given and hence we will apply speed and distance formula to find rate of crawling of turtle.

Time taken by turtle = $\frac{1}{2} \ hour$

Distance which can be traveled by turtle = $\frac{3}{20} \ miles$

$Speed =\frac{Distance}{Time}$

$=\frac{3}{20} \div\frac{1}{2} \\\\ =\frac{3}{20} \times\frac{2}{1} \\ \\ =\frac{6}{20}$

Therefore, the rate at which the turtle is crawling is $\frac{6}{20} \ mile\ per\ hour$

4 0

3 years ago

_____5.Six times a number less four is equal to eight.

xxMikexx [17]

Answer:

1. 4x = 15

2. 4(n - 3) = 24

3. 2n + 5 = 13

4. (3/4)n = 9

5. 6x - 4 = 8

Step-by-step explanation:

this should be correct. hope this helps!

5 0

3 years ago

Pilar is playing with a motorized toy boat. She puts the boat in a lake and it travels 400m at a constant speed. On the way back

ankoles [38]

Answer:

The trip normally takes 8 minutes

Step-by-step explanation:

The given information states that the away distance the boat traveled = 400 m

The time traveled at the same initial speed , v₁, by the boat on the way back = 2 minutes

The increase in speed of the boat by Pilar = 10 m/min

The new speed, v₂ = v₁ + 10

The time for the return trip, t₂ = 60 seconds (1 minute) faster than time for the trip, t₁

t₂ = t₁ - 1

Therefore we have;

v₁ × t₁ = v₁×2 + v₂×(t₂-2) = 400

v₁×2 + (v₁ + 10)×(t₂-2) = 400

(v₁ + 10)×t₂ - 20 = 400

But v₁ = 400/t₁ = 400/(t₂ + 1)

Which gives;

(400/(t₂ + 1) + 10)×t₂ - 20 = 400

10×(t₂²+ 36·t₂-2)/(t₂+1) = 400

10·t₂²+ 10·t₂-420 = 0

t₂²+ t₂-42 = 0

(t₂ - 7)(t₂ + 6) = 0

t₂ = 7 minutes or -6 minutes

Given that t₂ is a natural number, we have, t₂ = 7 minutes

Whereby, t₂ = t₁ - 1, we have;

7 = t₁ - 1

t₁ = 1 + 7 = 8 Minutes

The trip normally takes 8 minutes

3 0

3 years ago