Math, asked by ammu5160, 11 months ago

If Sin=21/29
Evaluate sec/tan-sin​

Answers

Answered by adityajadhav192005
1

Answer:

I hope u got your answer

Attachments:
Answered by baishnavi
1

Answer:

ans. = 4.449

Step-by-step explanation:

sin = 21/29

sin = opposite side/ hypotenuse

opposite/hypotenuse = 21/29

opposite side = 21, hypotenuse = 29

we know,

(hypotenuse)² = (opposite)² + (adjacent)²

(29)² = (21)² + (adjacent)²

adjacent = √{(29)² - (21)²}

adjacent = √(841 - 441)

adjacent = √400

adjacent = 20

--------------

sec = hypotenuse/adjacent = 29/20

tan = opposite/adjacent = 21/20

sin = opposite/hypotenuse = 21/29

sec / tan-sin

by substituting the values in the question,

⇒ (29/20) / (21/20) - (21/29)

⇒ (29/20) / (609 - 420)/580

⇒ (29/20) / (189/580)

\frac{29}{20} x \frac{580}{189}

⇒ 841/189

= 4.449

hope this helps..

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