Question

simplify this expression. Trigonometry

Answer 1

Step-by-step explanation:

We know that,

$\csc( \frac{\pi}{2} - x ) = \sec(x)$

sec²x-tan²x=1

sec²x=1+tan²x

Therefore, csc²(π/2-x)/1+tan²x

= sec²x/sec²x

=1

Answer 2

Answer:

1

Step-by-step explanation:

Sin(90-theta) = cos(theta)

Cosec(90-theta) = sec(theta)

Cosec²(pi/2 - theta) = sec²(theta)

1 + tan²(theta) = sec²(theta)

sec²(theta)/sec²(theta) = 1