Question

if tanA=1/route3 then evaluate [cosecsquretheta -secsqurethet

Answer 1

If tan A=1/root 3
A =30 degrees
cosec square  30=2x2=4
sec square 30=2/root 3  x   2/root 3=4/3
4-4/3=2 2/3
ANSWER=8/3

Answer 2

Answer :

Given,

tanA = 1/√3

⇒ tanA = tan30°

⇒ A = 30°

So, cosec²A - sec²A

= (cosecA)² - (secA)²

= (cosec30°)² - (sec30°)²

= 2² - (2/√3)²

= 4 - 4/3

= (12 - 4)/3

= 8/3

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