Answer:
1/2
Explanation:
tan A =1/√3
tan 30=1/√3
A=30
Now
cosec² 30 = 2×2=4
sec² 30=2/√3 × 2/√3 = 4/3
therefore
=(4-4/3) / (4+4/3)
=(12-4/3) / (12+4/3)
=8/16
=1/2
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Verified answer
Answer:
1/2
Explanation:
tan A =1/√3
tan 30=1/√3
A=30
Now
cosec² 30 = 2×2=4
sec² 30=2/√3 × 2/√3 = 4/3
therefore
=(4-4/3) / (4+4/3)
=(12-4/3) / (12+4/3)
=8/16
=1/2