If cos45°=1/√2 then prove the following..
Attachments:
Answers
Answered by
0
Step-by-step explanation:
Answer
sin
4
A+cos
4
A
We have (a
2
+b
2
)
2
=a
4
+b
4
+2a
2
b
2
⇒a
4
+b
4
=(a
2
+b
2
)
2
−2a
2
b
2
Take a=sinA and b=cosA we get
sin
4
A+cos
4
A=(sin
2
A+cos
2
A)
2
−2sin
2
Acos
2
A
=1−2sin
2
Acos
2
A proved.
Similar questions