$MathMaster logo$

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 is the variance of the dataset {5, 7, 10, 12, 15}?

+

Math question: If the sine of an angle is 0.8, what is the value of its cosine?

+

Question: What is the formula for finding the volume of a cube, and how can it be expanded to find the surface area of a cube?

+

New questions in Mathematics

A person who weighs 200 pounds on earth would weigh about 32 pounds on the moon. Find the weight of a person on earth who would weigh 15 pounds on the moon.

A brass cube with an edge of 3 cm at 40 °C increased its volume to 27.12 cm3. What is the final temperature that achieves this increase?

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?

What is the r.p.m. required to drill a 13/16" hole in mild steel if the cutting speed is 100 feet per minute?

find x in the equation 2x-4=6

I need to know what 20% or £3292.75

Lim x → 0 (2x ^ 3 - 10x ^ 7) / 5 * x ^ 3 - 4x )=2

Suppose that you use 4.29 g of Iron in the chemical reaction: 2Fe(s) + 3 Cu2 + (aq) 2Fe 3 + (aq) + 3Cu(s ) - . What is the theoretical yield of Cu (s), in grams?

You are the newly appointed transport manager for Super Trucking (Pty) Ltd, which operates as a logistics service provider for various industries throughout southern Africa. One of these vehicles is a 4x2 Rigid Truck and drawbar trailer that covers 48,000 km per year. Use the assumptions below to answer the following questions (show all calculations): Overheads R 176,200 Cost of capital (% of purchase price per annum) 11.25% Annual License Fees—Truck R 16,100 Driver Monthly cost R 18,700 Assistant Monthly cost R 10,500 Purchase price: - Truck R 1,130,000 Depreciation: straight line method Truck residual value 25% Truck economic life (years) 5 Purchase price: Trailer R 370,000 Tyre usage and cost (c/km) 127 Trailer residual value 0% Trailer economic life (years) 10 Annual License Fees—Trailer R 7,700 Fuel consumption (liters/100km) 22 Fuel price (c/liter) 2053 Insurance (% of cost price) 7.5% Maintenance cost (c/km) 105 Distance travelled per year (km) 48000 Truck (tyres) 6 Trailer (tyres) 8 New tyre price (each) R 13,400 Lubricants (% of fuel cost) 2.5% Working weeks 50 Working days 5 days / week Profit margin 25% VAT 15% Q1. Calculate the annual total vehicle costs (TVC)

Use a pattern to prove that (-2)-(-3)=1

9 x² + 2x + 1 = 0

Determine a general formula (or formulas) for the solution to the following equation. Then, determine the specific solutions (if any) on the interval [0,2π). cos30=0

What is the value of f(-3) for the function X squared+5x-8=

Calculate the change in internal energy of a gas that receives 16000 J of heat at constant pressure (1.3 atm) expanding from 0.100 m3 to 0.200 m3. Question 1Answer to. 7050J b. 2125J c. None of the above d. 2828J and. 10295 J

Solve for B write your answer as a fraction or as a whole number. B-1/7=4

7- A printing company found in its investigations that there were an average of 6 errors in 150-page prints. Based on this information, what is the probability of there being 48 errors in a 1200-page job?

Sally’s sales for last Sunday were $1,278. That was an increase of 6.5% over her sales for the previous Saturday. What were her sales for the previous Saturday?

Question 3 A square has a perimeter given by the algebraic expression 24x – 16. Write the algebraic expression that represents one of its sides.