Question

Simplify: cos(-theta)/sin (90 degree+theta)​

Answer 1

Answer:

cos(-theta)/Sin(90°+theta)

= cos theta/cos theta

= 1

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Answer 2

Answer:

$\frac{ \cos( - \theta) }{ \sin(90 + \theta) } \\ = \frac{ \cos(\theta) }{ \ \cos(\theta) } \\ = 1$

since,

(90+theta) is in the 2nd quadrant, by ASTC rule, it'll be positive and since (90+theta) = ( 1×90+theta) and 1 is odd, therefore sin will change to cos

Hope this helps you :)