If Sin=21/29
Evaluate sec/tan-sin
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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
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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)
⇒ x
⇒ 841/189
= 4.449
hope this helps..
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