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miv72 [106K]
3 years ago
10

5 sin theta is equal to 3 then find the then find the value of 2 cos theta + 3 sin theta upon 3 sin theta + 4 cos theta​

Mathematics
1 answer:
professor190 [17]3 years ago
4 0

GIVEN:

5sinΦ = 3

so, sinΦ = 3/5

let p = 3 and h = 5 as sinΦ = p/h.

ANSWER:

So, by pythagorean theorem,

  • b² = (5)² - (3)²
  • b² = 25 - 6
  • b = √16 = 4.

So, cosΦ = b/h = 4/5.

Now, 2cosΦ + 3sinΦ/3sinΦ + 4cosΦ

  • 2 × 4/5 + 3 × 3/5 ÷ 3 × 3/5 + 4 × 4/5
  • 8/5 + 9/5 ÷ 9/5 + 16/5
  • 17/5 ÷ 25/5
  • 17/5 × 5
  • 17.
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