ddlove08123 ddlove08123

Today at 12:10 PM
Mathematics

Answered

tan of theta= -12/5 and it’s in quadrant 4

Find the exact values of sin theta/2 and the tan of theta/2

Answer :

lynnkc2000 lynnkc2000

Today at 12:15 PM

Answer:

sin θ/2 = ± √2/13

Step-by-step explanation:

tan θ = - 12/5 (in quadrant 4) sin θ = - 12/13 and cos θ = 5/13

sin θ/2 = ± (√1 - cos θ) / 2 = ± (√1 - 5/13) / 2 = ± √8/13 / 2 = ± √2/13

tan θ/2 = (1 - cos θ) / sin θ = sin θ / (1 + cos θ)

Let you to calculate the tan θ/2 part by yourself

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