Question

If 29secθ – 20tanθ = 21, then the value of cosecθ is

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Answer 1

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Sec(90°–θ)Cosecθ–tan(90°–θ)Cotθ +Cos²25°+Cos²65°/ 3tan27°tan63°.

Answer 2

Answer:

The value of cosecθ = (21cotθ +20)÷29

Step-by-step explanation:

Given:

29secθ - 20tanθ= 21

we know value of secθ= 1/cosθ  and tanθ = sinθ /cosθ

29/cosθ - 20sinθ /cosθ = 21

Multiplying R.H.S and L.H.S by cosθ :

29-20sinθ =21cosθ

Now, on dividing both sides by sinθ :

=29/ sinθ - 20= 21 cosθ/sinθ

=29/ sinθ -20= 21 cotθ

=29/ sinθ = 21 cotθ + 20

=29 cosecθ = 21 cotθ +20

so:

cosecθ = (21cotθ +20)÷29

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