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maksim [4K]
2 years ago
13

Given that cos 63°≈ 0.454, enter the sine of a complementary angle. sin

Mathematics
1 answer:
jek_recluse [69]2 years ago
4 0

Answer:

\cos(63^\circ) is the same as \sin(27^\circ) by co-function identities

Step-by-step explanation:

Remember that complementary angles add up to 90°. The angle that i s complementary to 63° is 27°.

Also recall the co-function identities:

  • sin (90° – x) = cos x
  • cos (90° – x) = sin x

This means that \cos(90^\circ-27^\circ)=\sin(27^\circ)\approx0.454.

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<h2><em><u>Answ</u></em><em><u>er</u></em><em><u>:</u></em><em><u>-</u></em></h2>

★ Input of the given function F(x) is 5.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3>• <u>Given</u><u>:</u><u>-</u></h3>

✯ F(x) = 7x - 9

✯ Output = 26

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3>• <u>Solution</u><u>:</u><u>-</u></h3>

According to the question the output is 26.

Hence, the above data can be written in an equation form.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ F(x) = 7x - 9 = 26

➪ 7x = 26 + 9

➪ 7x = 35

➪ \sf x = \dfrac{35}{7}

➪ \bold\red{x = 5}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, F(x) = 5

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