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Two circles of radii 4 cm and 1 cm touch each other externally and is the angle…
MATHEMATICS · Subjective · CBSE · Mathematics · Circles · Circles
Problem
Two circles of radii 4 cm and 1 cm touch each other externally and
θ
\theta
θ
is the angle contained by their direct common tangents. Find the value of
sin
θ
2
+
cos
θ
2
\sin \frac{\theta}{2} + \cos \frac{\theta}{2}
sin
2
θ
+
cos
2
θ
.
Related theory
Trigonometric Ratios
Trigonometric Functions
Circles
Tangent length properties
Tangent to a circle
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