Question

if x is an acute angle and sin x = cos x , then find the value of 2 tan2x+sin2x-1

Answer 1

Answer: 3/2

Step-by-step explanation:

sin x = cos x (given)

sin x / cos x = 1

tan x = 1

tan x = tan45° (x is an acute angle)

     x = 45°

Now,

2tan²x + sin²x - 1

= 2tan²45° + sin²45° - 1

= 2(1)² + (1/√2)² - 1

= 2 + 1/2 - 1

= (2×2 + 1 - 1×2)/2

= (4 + 1 - 2)/2

= 3/2

(Hope this helps you)