Question

if sin²t = cos²t + 1/8, find tant​

Answer 1

Step-by-step explanation:

sin^2t+cos^2t=1

1-cos^2t=cos^2t+1/8

1-1/8=2cos^2t

cos^2t=7/16

cost=√7/ 4

sin^2t=1-cos^2t=1-7/16=9/16

sint=3/4

tant=sint/cost=(3/4)/(√7/4)=3/√7