3 years ago

If tan(tita) = 2 then find the values of other trigonometric ratios.

Mathematics

2 answers:

Nady [450]3 years ago

7 0

<h2>Answer:</h2>

We know that,

sec²θ = 1 + tan²θ

⇒ sec²θ = 1 + (2)²

⇒ sec²θ = 5

⇒ secθ = √5 …[1]

Also,

⇒ cosθ = 1/secθ

⇒ cosθ = 1/√5 …[2]

Now, using

tanθ = sinθ/cosθ

⇒2 = sinθ/1/√5

⇒2 = sinθ√5

⇒sinθ = 2/√5 …[3]

Also,

cosecθ = 1/sinθ

⇒cosecθ = √5/2 …[4]

cotθ = 1/tanθ

⇒cotθ = 1/2 ….[5]

olganol [36]3 years ago

5 0

Answer:

Refer to the attachment..Hope it helps. Thanks...

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