tolong dbantu kumohon
Matematika
nisa1680
Pertanyaan
tolong dbantu kumohon
1 Jawaban
-
1. Jawaban Sutr1sn0
2) cot A × sin A = cos A
=> (cos A/sin A) × sin A = cos A
=> cos A = cos A (terbukti)
3) [(1 - tan^2○)/(1 + tan^2 ○) = cos^2 ○ - sin^2 ○
cos^2 ○....sin^2 ○
----------- - --------------
cos^2 ○.....cos^2 ○
_______________ = cos^2 ○ - sin^2 ○
cos^2 ○......sin^2 ○
------------ + -------------
cos^2 ○.......cos^2 ○
cos^2 ○ - sin^2 ○
--------------------------
..........cos^2 ○
_____________ = cos^2 ○ - sin^2 ○
cos^2 ○ + sin^2 ○
----------------------------
...............cos^2 ○
cos^2 ○ - sin^2 ○.............cos^2 ○
-------------------------- ×--------------------------
.............cos^2 ○............cos^2○ + sin^2 ○
= cos^2 ○ - sin^2 ○
cos^2 ○ - sin^2 ○
------------------------- = cos^2 ○ - sin^2 ○
cos^2 ○ + sin^2 ○
cos^2 ○ - sin^2 ○
-------------------------- = cos^2 ○ - sin^2 ○
.................1
cos^2 ○ - sin^2 ○ = cos^2 ○ - sin^2 ○
(Terbukti)
4)sec^2 A × cosA
-------------------------- = tan A
..........cosec A
....1
------------ × cos A
cos^2 A
----------------------------- = tan A
..........1
---------------
....sin A
....1
----------
cos A
-------------- = tan A
......1
--------------
.......sin A
....1
-------- x sin A = tan A
cos A
sin A
---------- = tan A
cos A
tan A = tan A (Terbukti)