sin 4530°
please help me solve but please give correct answer
Answers
Answer:
your answer dear...........-1/2
Answer:
The value of \sin 4530^{\circ}sin4530
∘
is -0.5 or\frac{-1}{2}
2
−1
.
To find:
The value of \sin 4530^{\circ}sin4530
∘
Solution:
Here \theta = 4530 ^ { \circ }θ=4530
∘
Separate the \thetaθ into solvable terms
Hence, the nearer value when we divide 4530° by 180° is 25.
Hence, we can consider
\begin{gathered}\begin{aligned} 4530 ^ { \circ } & = 25 \times 180 ^ { \circ } + 30 ^ { \circ } = 25 \pi + 30 ^ { \circ } \\\\ & \therefore \sin 4530 ^ { \circ } = \sin ( 25 \pi + 30 ^ { \circ } ) \end{aligned}\end{gathered}
4530
∘
=25×180
∘
+30
∘
=25π+30
∘
∴sin4530
∘
=sin(25π+30
∘
)
Here \pi =180^{\circ}π=180
∘
WKT, the value of \sin \pi =0sinπ=0 , so the value of \sin 25\pi=0sin25π=0
\sin 4530 ^ { \circ } = \sin ( 30 ^ { \circ } )sin4530
∘
=sin30°
=-1/2