Answer :
Answer:
Step-by-step explanation:
To calculate
csc
2
(
)
csc
2
(b) where
=
2
5
∘
b=25
∘
, we first need to find the value of
csc
(
)
csc(b), which is the cosecant of
b. Then we square that value to get
csc
2
(
)
csc
2
(b).
Given that
=
2
5
∘
b=25
∘
, we'll find
csc
(
)
csc(b):
csc
(
)
=
1
sin
(
)
csc(b)=
sin(b)
1
Using the sine function:
sin
(
2
5
∘
)
≈
0.4226
sin(25
∘
)≈0.4226
Then:
csc
(
2
5
∘
)
≈
1
0.4226
≈
2.368
csc(25
∘
)≈
0.4226
1
≈2.368
Finally, we square
csc
(
2
5
∘
)
csc(25
∘
) to find
csc
2
(
2
5
∘
)
csc
2
(25
∘
):
csc
2
(
2
5
∘
)
≈
(
2.368
)
2
≈
5.607
csc
2
(25
∘
)≈(2.368)
2
≈5.607
So,
csc
2
(
2
5
∘
)
csc
2
(25
∘
) is approximately 5.607, correct to one decimal place.
