Trigonometric Identities

If cosθ=–1⁄2 and θ is in the second quadrant, find cos 2θ.

07/26/21

Two consecutive odd integers that have a product of 15

07/26/21

David is exploring the sequence of numbers given by the rule 2n^2 - 3n + 1

David is exploring the sequence of numbers given by the rule 2n^2 - 3n + 1. Prove that the difference between any two consecutive terms from the sequence 2n^2 - 3n + 1 must be an odd number.

07/26/21

What is the probability of tossing a coin 5 times and each time getting heads

What is the probability of tossing a coin 5 times and each time getting heads

07/26/21

What is the probability of drawing a black face card in a standard deck of 52 playing cards?

what is the probability of drawing a black face card in a standard deck of 52 playing cards? 

07/26/21

A ten sided die is numbered from one to ten. What is the probability of rolling a four on 3 consecutive rolls

A ten sided die is numbered from one to ten. What is the probability of rolling a four on 3 consecutive rolls

(4 points) What is the maximum and minimum values of the sine and cosine function? Only consider angles in [0,2𝜋)

Also what angles do they occur at? I can figure out the minimums and maximums but I am not sure how to find which angles they are at.

Find the reference angle for each of the following.

3.2 radians = _ radians 5.42radians =_ radians-1.7 radians=_  radianssqrt2 radians=_  radians

Suppose 𝑓(𝑥) is a function whose graph is a sinusoid with the following features 1. Amplitude = −5 2. Period = 𝜋5 3. Phase shift = 𝜋−40 4. Midline 𝑦=5.

Find an equation for the graph of f(x). I can not figure this one out even after asking my teacher, and I have about five more of these I need to learn how to do step by step.

07/25/21

Find an explicit formula for f(n).

f(1)=−71f(n)=f(n−1)⋅4.2​

07/25/21

A ball is thrown from an initial height of 5 feet with an initial upward velocity of 36 ft/s

A ball is thrown from an initial height of 5 feet with an initial upward velocity of 36 ft/s. The ball's height h (in feet) after t seconds is given by the following. h= 5+36t-16^2.Find all values... more

07/25/21

a total of $46,000 is invested into 2 municipal bonds that pay 5.75% and 7.75% simple interest. the investor wants an annual income of $3225 from the investments

a total of $46,000 is invested into 2 municipal bonds that pay 5.75% and 7.75% simple interest. the investor wants an annual income of $3225 from the investments. what amount should be invested in... more

07/25/21

2 cheeseburgers and a small fries contain a total of 1340 calories. 3 cheeseburgers and 2 small fries contain 2210 calories , find the caloric count of each item

2 cheeseburgers and a small fries contain a total of 1340 calories. 3 cheeseburgers and 2 small fries contain 2210 calories , find the caloric count of each item

07/24/21

Evaluate [i18+(1i)25]^2

07/24/21

The nth term of an arithmetic sequence is given. an = 6 + 3(n − 1)

The nth term of an arithmetic sequence is given.an = 6 + 3(n − 1)(a) Find the first five terms of the sequence. a1 =  a2 =  a3 =  a4 =  a5 =  (b) What is the common... more

07/24/21

The sequence an = a + (n − 1)d

The sequence an = a + (n − 1)d is an arithmetic sequence in which a is the first term and d is the  ---Select--- common sum partial difference partial sum common difference . So for the arithmetic... more

Let α and β be two acute angles of a right triangle in a unit circle. (Thus α and β are complementary angles.)

 Under what conditions will sin⁡(α)=cos⁡(α)

Rational function equation help

A function of the form y=a/bx+c has a y-intercept of -2/5, a vertical asymptote of x=2.5determine the equation of this function.

07/24/21

math question based on related rates

A ladder 26 ft long rests on the (horizontal) ground and leans against a (vertical) wall. The base of the ladder is pulled away from the wall at a rate of 4 ft/sec. How fast is the top of the... more

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