If sinx=16, find cos(x−π2)?
Answers
Answered by
0
Answer:
Step-by-step explanation:
There is a group of Trig Identities that contain:
cos
(
A
−
B
)
=
cos
(
A
)
cos
(
B
)
+
sin
(
A
)
sin
(
B
)
For your question this translates to:
cos
(
x
−
π
2
)
=
cos
(
x
)
cos
(
π
2
)
+
sin
(
x
)
sin
(
π
2
)
Tony B
'................................................................
Condition 1
cos
(
π
2
)
→
cos
(
90
o
)
=
adjacent
hypotenuse
=
0
h
=
0
'.................................................
Condition 2
sin
(
π
2
)
→
sin
(
90
o
)
=
opposite
hypotenuse
=
h
o
but for this condition
h
=
o
⇒
sin
(
π
2
)
=
1
'......................................................
Thus we have:
cos
(
x
−
π
2
)
=
[
cos
(
x
)
×
0
]
+
[
sin
(
x
)
×
1
]
⇒
cos
(
x
−
π
2
)
=
sin
(
x
)
QED
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