Question: What basic trigonometric identity would you use to verify that cot x sin x = cos x ?

What basic trigonometric identity would you use to verify that cotxsinx= cosx?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

In Exercises 1 and 2, use the given conditions and fundamental trigonometric identities to find the values of all six trigonometric functions. 1. cos = - 2 / 5, tan > 0 2. cot x = - 2 / 3, cos x

Q:

In Exercises 1-4, verify the identity. 1. sin 1/2 x cos x - sin 5/2 x cos x = cos3 x sin x 2. sec6 x(sec x tan x) - sec4 x(sec x tan x) = sec5 x tan3 3. (1 + sin y) [1 + sin(-y)] = cos2y 4. tan x +...

Q:

This question is concerned with an l2S spin system. (b) By first applying the identity cos2 (A) = ½ j[l + cos(2A)], and then the identity cos (A)cos(B) = 1/2 [cos (A + B) + cos (A - B)], show...

Q:

Differentiate each trigonometric identity to obtain a new (or familiar) identity. (a) tan x = sin x / cos x (b) sec x = 1/cos x (c) sin x + cos x = 1 + cot x/csc x

Q:

(a) Use a graphing utility to graph the function and approximate the maximum and minimum points on the graph in the interval [0, 2), and (b) solve the trigonometric equation and verify that its...

Q:

In Exercises 1-4, verify the identity. 1. sin( / 2 - x) = cos x 2. sin( / 2 - x) = cos x 3. sin( / 6 + x) = 1 / 2(cos + 3 sin x) 4. cos(5 / 4 - x) = -2 / 2(cos x + sin x)

Q:

In Exercises 1-4, match the trigonometric expression with its simplified form. (a) csc x (b) -1 (c) 1 (d) sin x tan x (e) sec2 x (f) sec x 1. sec x cos x 2. cot2 x csc2 x 3. cos x(1 + tan2 x) 4. cot...

Q:

Verify the identity. 1. Cos (x + / 2) = - sin x 2. Tan (x - / 2) = - cos x 3. Tan ( - x) = - tan x 4. Sin (x - ) = - sin x

Q:

Use Exercise 66 to prove: f (x) = sin x is the unique solution of Eq. (1) such that f (0) = 0 and f(0) = 1; and g(x) = cos x is the unique solution such that g(0) = 1 and g(0) = 0. This result can be...

Q:

The set is an orthonormal set of vectors in C[-Ï, Ï] with inner product defined by (2). (a) Use trigonometric identities to write the function sin4 x as a linear combination of elements of...

Q:

For each of the following situations, calculate the amount of bond discount or premium, if any. a. Holt Co. issued $70,000 of 6 percent bonds at 101 . b. Janus, Inc., issued $100,000 of 10-year, 6...

Q:

Explain the difference between crosssectional and timeseries data.

Q:

Select all that applies to "Recommendation" O You need to check the vital signs every 15 minutes O Please assess if we can change oxygen device and target saturations above 92% in your shift Heparin...

Q:

Oust the Turtle Company has the following balances on December 31, 2020: Cash on hand 4,500.00 Cash in bank A 33,000.00 Cash in bank X 50,000.00 Cash in bank C 822,999.72 Cash on hand includes $ 3....