Question

if a and b are complementary angles then a) sin A = sinB b) cos A =cosB c) tanA = tanB d) sec A = cosecB

Answer 1

a and b are complementary angles

so a+b = 90

a = 90-b

$\frac{1}{cosA} = \frac{1}{cosA}$

$\frac{1}{cos A} = \frac{1}{cos(90-B)}$

$sec A = \frac{1}{sinB}$

sec A = cosec B

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the correct answer is -

d) sec A = cosecB