sec16 cosec74-cot74 tan 16
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Answer:
sec16 cosec74-cot74 tan 16 = 1
Step-by-step explanation:
Recall the formulas
cosec(90-A) = sec A
cot (90 - A) = TanA
sec²A - tan²A = 1
We know,
sec16 cosec74-cot74 tan 16
=sec16cocec(90-16) - cot(90-16)tan16
=sec16sec16 -tan 16 tan 16
= sec² 16 - tan² 16
= 1 (∵sec² 16 - tan² 16 = 1)
∴ sec16 cosec74-cot74 tan 16 = 1
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