If A and B are complementary angles, then
(a)sin A = sin B
(b)cos A = cos B
(c)tan A = tan B
(d)sec A = cosec B
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101
SOLUTION :
The correct option is (d) = sec A = cosec B
Given : A and B are complementary angles
A + B = 90°
A + B = 90°
A = 90° - B
On putting sec on both sides,
sec A = sec (90° - B )
sec A = cosec B
[ sec (90° -θ ) = cosec θ )]
★★Trigonometry is the study of the relationship between the sides and angles of a triangle.
★★ Two angles are said to be complementary if their sum is equal to 90° .
θ & (90° - θ) are complementary angles.
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The correct option is d. sec A = cosec B
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