$MathMaster logo$

MathMaster

Home
general
prove the trig identity cos x 1 sinx cos x 1 sin x 2tan x

Question

Prove the trig identity: Cos x/1-sinx - Cos x/1+sin x = 2tan x

154

likes

770 views

Answer to a math question Prove the trig identity: Cos x/1-sinx - Cos x/1+sin x = 2tan x

$Expert avatar$

4.6

110 Answers

$=\frac{\sin(2x)}{(-\sin(x)+1)(\sin(x)+1)}$

$=\frac{\sin(2x)}{\cos^{2}(x)}$

$=2\tan(x)$

Frequently asked questions (FAQs)

What percentage of students passed the math test?

+

What is the result of multiplying the vector [2, 3] by the scalar 5?

+

What is the value of f(1) for the logarithmic functions f(x) = log x and f(x) = ln x?

+

New questions in Mathematics

a to the power of 2 minus 16 over a plus 4, what is the result?

Find an arc length parameterization of the curve that has the same orientation as the given curve and for which the reference point corresponds to t=0. Use an arc length s as a parameter. r(t) = 3(e^t) cos (t)i + 3(e^t)sin(t)j; 0<=t<=(3.14/2)

Let X be a discrete random variable with range {1, 3, 5} and whose probability function is f(x) = P(X = x). If it is known that P(X = 1) = 0.1 and P(X = 3) = 0.3. What is the value of P(X = 5)?

the value of sin 178°58'

By differentiating the function f(x)=(x³−6x)⁷ we will obtain

In a store there are packets of chocolate, strawberry, tutti-frutti, lemon, grape and banana sweets. If a person needs to choose 4 flavors of candy from those available, how many ways can they make that choice?

4. Show that if n is any integer, then n^2 3n 5 is an odd integer

If 0101, what is the binary representation of the 4x16 decoder output?

I need to know what 20% or £3292.75

7. Find the equation of the line passing through the points (−4,−2) 𝑎𝑛𝑑 (3,6), give the equation in the form 𝑎𝑥+𝑏𝑦+𝑐=0, where 𝑎,𝑏,𝑐 are whole numbers and 𝑎>0.

A warehouse employs 23 workers on first shift, 19 workers on second shift, and 12 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing exactly five first -shift workers.

John he’s going to the carnival with his friends. He spends $25 on an admission ticket. He buys 10 games at X dollars each and two boxes of popcorn at Y dollars each. Write an expression to show the total cost of admission game, tickets and popcorn.

ind the z-score for which 72% of the distribution's area lies between -z and z. -1.7417, 1.7417 -1.1538, 1.1538 -1.0803, 1.0803 -2.826, 2.826

17. A loan for $104259 is taken out for 10 years with an annual interest rate of 9.4%, compounded quarterly. What quarterly payment is required to pay the loan off in 10 years? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.

A multiple choice exam is made up of 10 questions; Each question has 5 options and only one of them is correct. If a person answers at random, what is the probability of answering only 3 good questions?

Associate each 2nd degree equation with its respective roots. A) x2+6x+8=0 B)x2-5x-6=0

0<x<2π aralığındaki f(x)=x÷2 fonksiyonunun 0 < x < 4π için grafiğini çiziniz ve 0<x<2n için Fourier seri dönüşümünü gerçekleştiriniz.

A confidence interval for a population mean has a margin of error of 3.5. a. Determine the length of the confidence interval. b. If the sample mean is 47.8 , obtain the confidence interval. a. The length of the confidence interval is?

Sarah is lining a square tray with 1 inch square tiles. the side length of the tray is 9 inches. How many tiles does Sarah need?