Question

If sin theta + cosec theta = 2, find the value of sin2 theta + cosec2 theta.
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Answer 1

Answer:

sin theta is equal to opposite by hypotenuse so that's why to is divided by 1 and half is equal to 1 and half plus half and concept litre is equal to half

Answer 2

Step-by-step explanation:

sin A + cosec A = 2

Squaring this on both sides, we get

$sin^{2}$A + $cosec^{2}$A + 2 sinA cosecA = 4

$sin^{2}$A + $cosec^{2}$A = 4 - 2 sinAcosecA

But we know that

cosec A = 1/sinA

so we get sinA cosecA = sinA * 1/sinA = 1

so we get

$sin^{2}$A + $cosec^{2}$A = 4 -2 = 2

$sin^{2}$A + $cosec^{2}$A = 2