Question

Given cos O=5/13 calculate all other trigonometric ratios of angle O

Answer 1

Answer:

given that cos∅ = 5/13

to find the others value

using cos²∅ + sin²∅ = 1

⇒ sin∅=√1-cos²∅

⇒sin∅=√1-(5/13)²

  sin∅=√1-25/169)

 sin∅=√(169-25)/169

 sin∅=√144/169

⇒  sin∅=12/13

there for tan∅ = sin∅/cos∅

⇒tan∅=12/5

sec∅=1/cos∅

⇒sec∅=13/5

cosec∅=13/12

cot∅=1/tan∅

⇒ cot∅=5/12

there for the summery of the identities are follows below

sin∅=12/13

cos∅=5/13

cosec∅=13/12

sec∅=13/5

cot∅=5/12

Step-by-step explanation: