cos48-sin42 what is it
Answers
Answered by
5
We will use the following rule of complementary to solve this question.
sin A = cos ( 90° - A )
In this question,
A = 42, B = 48
cos 48° - sin 42°
sin ( 90° - 48° ) - sin 42°
sin 42° - sin 42°
0
sin A = cos ( 90° - A )
In this question,
A = 42, B = 48
cos 48° - sin 42°
sin ( 90° - 48° ) - sin 42°
sin 42° - sin 42°
0
Answered by
1
Answer:
0
Step-by-step explanation:
cos48° - sin42°
In such question you'll observe that sum of both angles is 90° (complimentary)
So we will use Identities of Complimentary angles of Trigonometry to change ONLY ONE OF THEM
cos48° - sin42°
= cos( 90° - 42°) - sin42° [∵ 48 = 90 - 42]
= sin42° - sin42° [∵ cos(90 - Ф) = sinФ]
= 0
∴ cos48° - sin42° = 0
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