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Question
\newline
Asomme that () is a positive
acute angle
\newline
Giveni
cos
θ
=
4
5
\cos \theta=\frac{4}{5}
cos
θ
=
5
4
\newline
Find:
sin
90
\sin 90
sin
90
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Home
Math Problems
Calculus
Find limits involving trigonometric functions
Full solution
Q.
Question
\newline
Asomme that () is a positive acute angle
\newline
Giveni
cos
θ
=
4
5
\cos \theta=\frac{4}{5}
cos
θ
=
5
4
\newline
Find:
sin
90
\sin 90
sin
90
Question Prompt:
Question prompt: What is the value of
sin
(
90
degrees
)
\sin(90 \text{ degrees})
sin
(
90
degrees
)
given that
cos
(
θ
)
=
4
5
\cos(\theta) = \frac{4}{5}
cos
(
θ
)
=
5
4
for a positive acute angle
θ
\theta
θ
?
Recognize
sin
(
9
0
∘
)
\sin(90^\circ)
sin
(
9
0
∘
)
:
Since the question asks for
sin
(
9
0
∘
)
\sin(90^\circ)
sin
(
9
0
∘
)
, we need to recognize that
sin
(
9
0
∘
)
\sin(90^\circ)
sin
(
9
0
∘
)
is a standard trigonometric value.
Calculate
sin
(
9
0
∘
)
\sin(90^\circ)
sin
(
9
0
∘
)
:
The sine of
9
0
∘
90^\circ
9
0
∘
is always equal to
1
1
1
, regardless of the value of
θ
\theta
θ
.
\newline
sin
(
9
0
∘
)
=
1
\sin(90^\circ) = 1
sin
(
9
0
∘
)
=
1
Given Information Not Needed:
Therefore, we do not need the given information about
cos
(
θ
)
\cos(\theta)
cos
(
θ
)
to find
sin
(
9
0
∘
)
\sin(90^\circ)
sin
(
9
0
∘
)
.
More problems from Find limits involving trigonometric functions
Question
Find
lim
x
→
∞
x
+
1
x
2
+
1
\lim _{x \rightarrow \infty} \frac{x+1}{x^{2}+1}
lim
x
→
∞
x
2
+
1
x
+
1
.
\newline
Choose
1
1
1
answer:
\newline
(A)
1
1
1
\newline
(B)
2
2
2
\newline
(C)
0
0
0
\newline
(D) The limit is unbounded
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Posted 9 months ago
Question
Solve the differential equation.
\newline
d
y
d
x
=
e
2
x
−
2
y
\frac{dy}{dx}=e^{2x-2y}
d
x
d
y
=
e
2
x
−
2
y
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Posted 8 months ago
Question
Find the derivative of each function using the limit definition.
\newline
a.
\newline
f
(
x
)
=
x
2
+
3
x
−
5
f(x)=x^{2}+3x-5
f
(
x
)
=
x
2
+
3
x
−
5
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Posted 8 months ago
Question
Click and drag like terms onto each other to simplify fully.
\newline
2
+
4
x
+
1
+
4
2+4 x+1+4
2
+
4
x
+
1
+
4
\newline
You must answer all questions above in order to submit.
Get tutor help
Posted 9 months ago
Question
Click and drag like terms onto each other to simplify fully.
\newline
1
−
x
+
x
+
2
x
+
3
1-x+x+2 x+3
1
−
x
+
x
+
2
x
+
3
\newline
You must answer all questions above in order to submit.
Get tutor help
Posted 9 months ago
Question
What value of
y
y
y
makes the equation below true?
\newline
9
y
−
2
=
25
9 y-2=25
9
y
−
2
=
25
\newline
2
2
2
\newline
3
3
3
\newline
5
5
5
\newline
9
9
9
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Posted 8 months ago
Question
What value of
z
z
z
makes the equation below true?
\newline
10
z
+
5
=
75
10 z+5=75
10
z
+
5
=
75
\newline
7
7
7
\newline
10
10
10
\newline
11
11
11
\newline
15
15
15
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Posted 8 months ago
Question
What value of
y
y
y
makes the equation below true?
\newline
2
y
+
5
=
21
2 y+5=21
2
y
+
5
=
21
\newline
5
5
5
\newline
8
8
8
\newline
14
14
14
\newline
16
16
16
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Posted 8 months ago
Question
What value of
y
y
y
makes the equation below true?
\newline
4
y
−
5
=
23
4 y-5=23
4
y
−
5
=
23
\newline
6
6
6
\newline
7
7
7
\newline
14
14
14
\newline
23
23
23
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Posted 8 months ago
Question
What value of
y
y
y
makes the equation below true?
\newline
6
y
−
1
=
17
6 y-1=17
6
y
−
1
=
17
\newline
3
3
3
\newline
6
6
6
\newline
15
15
15
\newline
16
16
16
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Posted 8 months ago
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