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An angle θ has cosθ = 12/13 and is the… · Answer | StemPy Lab
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An angle θ has cosθ = 12/13 and is the principal value cos⁻¹12/13. What is sinθ, which equals sin(cos⁻¹12/13)?
Mathematics
Medium
High School (11–12)
Trigonometry › Inverse Trigonometric Functions
Board Exam
CUET UG
Created by
StemPy Lab
An angle
θ
\theta
θ
has
cos
θ
=
12
13
\cos\theta = \dfrac{12}{13}
cos
θ
=
13
12
and is the principal value
cos
−
1
12
13
\cos^{-1}\dfrac{12}{13}
cos
−
1
13
12
. What is
sin
θ
\sin\theta
sin
θ
, which equals
sin
(
cos
−
1
12
13
)
\sin\left(\cos^{-1}\dfrac{12}{13}\right)
sin
(
cos
−
1
13
12
)
?
25
169
\dfrac{25}{169}
169
25
5
13
\dfrac{5}{13}
13
5
12
5
\dfrac{12}{5}
5
12
12
13
\dfrac{12}{13}
13
12
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