Math, asked by ameer9542, 1 year ago

If tan theta + sec theta is equal to 2/ 3 then sec theta is

Answers

Answered by danielochich
38
tan∅ +sec∅ = 2/3


tan∅=sin∅/cos∅ 

sec∅ = 1/cos∅


sin∅/cos∅ + 1/cos∅ = 2/3

(sin∅ + 1)/cos∅ = 2/3


sin∅=1-cos²∅


(1-cos²∅+1)/cos∅ = 2/3

(-cos²∅)/cos∅ = 2/3

-cos∅ = 2/3

cos∅ = -2/3


1/cos∅ = sec∅ = -3/2


sec∅ = -3/2


If tan theta + sec theta is equal to 2/ 3 then sec theta is -3/2
Answered by Anonymous
0

Answer:

Step-by-step explanation:

tan∅ +sec∅ = 2/3

tan∅=sin∅/cos∅

sec∅ = 1/cos∅

sin∅/cos∅ + 1/cos∅ = 2/3

(sin∅ + 1)/cos∅ = 2/3

sin∅=1-cos²∅

(1-cos²∅+1)/cos∅ = 2/3

(-cos²∅)/cos∅ = 2/3

-cos∅ = 2/3

cos∅ = -2/3

1/cos∅ = sec∅ = -3/2

sec∅ = -3/2

If tan theta + sec theta is equal to 2/ 3 then sec theta is -3/2

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