Math, asked by sabhyatadhawan, 1 year ago

If sectheta +tan theta=x,find the value of sec theta -tan theta

Answers

Answered by kumarsuresh237p9qz6n

128

answer is 1/x hope it helps

Attachments:

sabhyatadhawan: can u explain

kumarsuresh237p9qz6n: yes

sabhyatadhawan: so plz

kumarsuresh237p9qz6n: sec2theta - tan2 theta = 1

kumarsuresh237p9qz6n: trigonometric identity

kumarsuresh237p9qz6n: now use the formula a^2-b^2 = (a+b) (a-b)

sabhyatadhawan: okk

sabhyatadhawan: thanks

kumarsuresh237p9qz6n: now see my attachment u can get it easily

Answered by vaduz

Answer: $\frac{1}{x}$

Step-by-step explanation:

as we know

sec²α = 1 + tan²α

⇒sec²α - tan²α = 1

we know that

a²-b² = (a+b)(a-b)

(sec α - tan α )(sec α + tan α ) = 1

(sec α - tan α ) * x = 1

⇒(sec α - tan α ) = $\frac{1}{x}$

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