Question

cos square A minus cos square B​

Answer 1

Answer:

-1

Step-by-step explanation:

cos^2A-cos^2B=sin^2B-cos^2B

=-1

Answer 2

Concept :

The investigation of relationships between triangles' side lengths and points is known as geometry. The field was made in the Hellenistic period in the third century BC because of the utilization of calculation in cosmic exploration. the area of arithmetic that arrangements with specific points' capabilities and how to involve those capabilities in estimations. Understudies areas of strength for with abilities can work out confounded points and aspects rapidly. One of the most valuable subfields of math is geometry, which is generally utilized in designing, engineering, and numerous different regions.

Given:

$cos^2A-cos^2B$

To Find:

The value of this given equation

Solution:

According to the problem,

$cos^2A-cos^2B$

$(cosA+cosB)(cosA - cosB)$

$=(2cos(2A+B)cos(2A - B))( - 2sin(2A+B)sin(2A - B))=(2sin(2A+B)cos(2A+B))( - 2sin(2A - B)cos(2A- B))$

$= - sin(A+B)sin(A - B)$

$=sin(A+B)sin(B - A)$

Hence the value of the given equation is $sin(A+B)sin(B - A)$

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