tanA/secA-1 + tanA/secA+1 = 2 cosecA
tanA secA + tanA + tanA secA – tanA / (secA-1)( secA+1)
= 2 tanA secA / sec2A -1
= 2 tanA secA / tan2A
= 2 secA/ tanA
= 2 cosA/ sinA * cosA
= 2 / sinA = 2 cosecA
Prove Kijiye ki tanA/secA-1+tanA/secA+1=2cosecA
To simplify the given expression, we need to manipulate both sides of the equation using trigonometric identities.
Starting with the left side:
tanA/secA - 1 + tanA/secA + 1 = 2tanA/secA
Now, let's transform the right side of the equation:
2cosecA = 2(1/sinA)
To combine the left and right sides of the equation, we need to have a common denominator. The common denominator for secA and sinA is secA.
So, multiplying both sides by secA, we get:
2tanA = 2
Dividing both sides by 2, we obtain:
tanA = 1
That is the simplified result of the given expression.