Question

Buktikan identitas trigonometri no 24

Answer 1

Verified answer

1/(1 - sin x) + 1/(1 + sin x)

• samakan penyebut jd (1 - sin x)(1 + sin x) = 1 - sin² x = cos² x
• sin² x + cos² x = 1
• 1/cos x = sec x

1/(1 - sin x) + 1/(1 + sin x)
= [(1 + sin x) + (1 - sin x)] / cos² x
= 2/cos² x
= 2 sec² x
= ruas kanan
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