Question: Prove that the equation is an identity. cot A cot B = cot A + cot B tan A + tan B Working from the

Prove that the equation is an identity. cot A cot B

Prove that the equation is an identity. cot A cot B = cot A + cot B tan A + tan B Working from the right-hand side, use the trigonometric identities for tangent and cotangent. RHS = cot A + cot B tan A + tan B COS B sin A sin A + COS B Simplify the compound fraction. RHS = sin A sin B COS A COS B = Rewrite as the product of two fractions. COS B RHS = sin A Use the trigonometric identity for tangent. cot A + cot B tan A + tan B

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:

1-Verify the identity. sin 3x + cos 3x cot 3x = csc 3x sin 3x + cos 3x sin 3x + cos 3x cot 3x = sin 3x = + cos2 3x sin 3x 1 = = csc 3x 2-Verify the identity. sec2 3u 1 sec2 3u = sin2 3u 1 sec2 3u 1...

Q:

1-Verify the identity. sin 3x + cos 3x cot 3x = csc 3x sin 3x + cos 3x sin 3x + cos 3x cot 3x = sin 3x = + cos2 3x sin 3x 1 = = csc 3x 2-Verify the identity. sec2 3u 1 sec2 3u = sin2 3u 1 sec2 3u 1...

Q:

Verify that the given trigonometric equation is an identity. sin 0 _1 _ 6 5cos Bsec 6 sm @ On the left side of the given equation, rewrite the denominator in terms of sine and cosine or both. 1...

Q:

can someone please help me with those questions The bearing of a ship from a lighthouse was found to be N 15 E. After the ship sailed 5.8 miles due south, the new hearing was N 26 E. Find the...

Q:

Exercise Set 6.1: Sum and Difference Formulas Simplify each of the following expressions. 1. sin ( x ) 2. 3 cos x + 2 3. cos x 2 4. sin ( + x ) 5. sin 60 + sin 60 + 6. cos 60 + cos 60 + 7. cos x +...

Q:

To be answered asap need complete solution and explanation: Activity 1 Identify whether the given equation is an identity or a conditional equation. For each conditional equation, provide a value of...

Q:

To be answered asap need complete solution and explanation: Activity 1 Identify whether the given equation is an identity or a conditional equation. For each conditional equation, provide a value of...

Q:

To be answered asap need complete solution and explanation: Activity 1 Identify whether the given equation is an identity or a conditional equation. For each conditional equation, provide a value of...

Q:

6. Prove the identity. cos2x-1 tan x sin x COS X To prove the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and...

Q:

\fVerify that the equation is an Identity. Show that -2 tan x secx. 1- cscx 1+ cscx Statement Rule Algebra Pythagorean Select Rule OMBO hp- 12 13 - 14 - 15 16 Verify that the equation is an Identity....

Q:

Distinguish between facility relocation and facility closing. How should companies deal with their human resources (workers) in both situations?

Q:

"We must avoid the temptation to think of our identities as constant." Why is it important to understand we each have personal, social, and cultural identities? Which of these are changeable? Why?...

Q:

21. A seven-year medical research study reported that women whose mothers took the drug DES during pregnancy were twice as likely to develop tissue abnormalities that might lead to cancer as were...

Q:

To conduct secondary data market research. The purpose of this assignment is to familiarize you with searching, identifying, and presenting secondary data pertinent to situation analysis for a...

Q:

3. How can we use information and communication to generate trust?

Q:

4. How can we use information and communication to influence other people?

Q:

2. Why do we have more confidence in what one person tells us than in what another person tells us?