Math, asked by vidyarathod3542, 1 year ago

If sinA= cosA find the value of 2tan^2A+sin^2A+1

Answers

Answered by abhi569
8
Given that,
sinA = cosA -----1equation

So,

cos(90 - A) = cosA
90 - A = A
90 = 2A
45 = A


Now,

2tan^2 A + sin^2 A + 1

2(sinA/cosA)^2 + sin^2 45° + 1


As both sin and cos are equal, sin/cos = 1

2(1)^2 + (1/√2)^2 + 1

2 + 1/2 + 1

(4 + 1 + 2)/2

7/2





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I hope this will help you

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