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3 years ago

90 POINTS WILL GIVE BRAINLIEST for which value of theta is cot theta equal to cos theta

Mathematics

2 answers:

velikii [3]3 years ago

8 0

Answer:

Step-by-step explanation:

$cot \theta = cos \theta\\ \frac {cos \theta}{sin \theta} = cos \theta$

An easy solution is if $cos \theta = 0$ , or $\theta = \frac \pi 2$ , plus or minus any number of half circles.

Angelina_Jolie [31]3 years ago

3 0

Answer:

...so cos t = cot t can only happen when cos t is 0 or sin t is 1. (But sin t = 1 only happens when cos t = 0, so cos t = 0 is enough.)

arccos(0) is pi/2, plus or minus any multiple of pi.

Step-by-step explanation:

cotθ = cosθ

cosθ/sinθ = cosθ

sinθ = 1

θ = π/2

pi also = to 3.14 etc.

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Enter an equation for the function that includes the points.Give your answer in a(b)x. In the event that a=1 , give your answer

Andrews [41]

Answer:

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

Step-by-step explanation:

Given

$(x_1,y_1) = (2,\frac{2}{3})$

$(x_2,y_2) = (3,\frac{5}{9})$

Required

Write the equation of the function $f(x) = ab^x$

Express the function as:

$y = ab^x$

In: $(x_1,y_1) = (2,\frac{2}{3})$

$y = ab^x$

$\frac{2}{3} = a * b^2$ --- (1)

In $(x_2,y_2) = (3,\frac{5}{9})$

$y = ab^x$

$\frac{5}{9} = a * b^3$ --- (2)

Divide (2) by (1)

$\frac{5}{9}/\frac{2}{3} = \frac{a*b^3}{a*b^2}$

$\frac{5}{9}/\frac{2}{3} = b$

$\frac{5}{9}*\frac{3}{2} = b$

$\frac{5}{3}*\frac{1}{2} = b$

$\frac{5}{6} = b$

$b = \frac{5}{6}$

Substitute 5/6 for b in (1)

$\frac{2}{3} = a * b^2$

$\frac{2}{3} = a * \frac{5}{6}^2$

$\frac{2}{3} = a * \frac{25}{36}$

$a = \frac{2}{3} * \frac{36}{25}$

$a = \frac{2}{1} * \frac{12}{25}$

$a = \frac{24}{25}$

The function: $f(x) = ab^x$

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

7 0

2 years ago

4 (5x-3) -64 (3-x) -3 (12x-4)=96

Yuki888 [10]

Are you trying to simply the equation if so x = 6

4 0

2 years ago

Please help me! I have no idea how to do this

elena-s [515]

The best way to do this is to make up values for the sides.

Say the lengths of square B's sides are each 4 cm. That means A's sides are 2 cm.

So, the area of square B is 4^2 = 16 cm^2, and A's area is 4 cm^2. We can see the shaded area is half of A, so it's 2 cm^2.

What percent of 16 is 2?

2 / 16 * 100 = 12.5%

5 0

2 years ago

A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability that the card drawn is neither a red card

Reil [10]

Number of red cards including 2 red queens = 26
Number of black queens = 2
Therefore, number of red cards including 2 red queens and 2 black queens = 26 + 2 = 28
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$P = \frac{ Number \: of \: favourable \: outcomes}{ Total \: numer \: of \: possible \: outcomes}$

$P (neither \: a \: red \: nor \: a \: queen \: card \: ) = \frac{24}{52} = \frac{6}{13}$

8 0

3 years ago

One of Canada's tallest trees is a Douglas fir on Vancouver Island. The angle of elevation measured by an observer who is 78 m f

kkurt [141]

Answer:

93 m

Step-by-step explanation:

We solve this above question using the Trigonometric function of Tangent

tan θ = Opposite/Adjacent

Opposite = Height of the tree = ?? = x

Adjacent = Distance from the base of the tree = 78m

θ = 50°

Hence:

tan 50 = x/78

Cross Multiply

x = tan 50 × 78

x = 92.956780222m

Approximately = 93 m

Therefore, the tree is 93 meters tall

6 0

2 years ago