Question

If is an acute angle and sin 0 = cos o, find the value of
2 tan? e + sin? - 1.​

Answer 1

Step-by-step explanation:

The correct answer is (B) 3/2 We have, sin θ = cos θ sin θ/ cos θ = cos θ/ cos θ [ Dividing both sides by cos θ] tan θ = 1 tan θ = tan 45° θ = 45° 2 tan2 θ + sin2 θ – 1 = 2 tan2 45° + sin245° - 1 = 2 (1)2 + (1/√2)2 – 1 = 2 + 1/2 – 1 = (4 + 1 – 2)/2 = 3/2Read more on Sarthaks.com - https://www.sarthaks.com/793576/if-is-an-acute-angle-and-sin-cos-the-value-of-2-tan-2-sin-2-1-is