Question

claculate the value of tan3π/8​

Answer 1

Answer:

Use a half-angle formula to find the exact value of tan(3pi/8).

tan(3pi/8) = tan((3pi/4)/2)

sin(3pi/4) = sin(pi/4) = 1/√(2)

cos(3pi/4) = –cos(pi/4) = –1/√(2)

tan(t/2) = (1–cos(t))/sin(t)

tan(3pi/8) = (1–cos(3pi/4))/sin(3pi/4)

tan(3pi/8) = (1–(–1/√(2)))/(1/√(2))

= (1+1/√(2))/(1/√(2)) = √(2) + 1

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Answer 2

by taking πvalue 3.14

Step-by-step explanation:

the answer is 1.1775