Question

If O is an acute angle and sin 0 = cos o, find the
value of 2 tan² 0 + sin²0 - 1​

Answer 1

Answer:

sinθ=cosθ

cosθsinθ=cosθcosθ

tanθ=1=tan45o

θ=45o

Therefore, 2tanθ+sin2θ−1=2tan45o+sin245o−1

=2×(1)2+(21)2−1=2+21−1=23.