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If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is (What?)°.
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If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is (What?)°.

User Madu
by
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2 Answers

7 votes

Answer:

its 35 degrees

Explanation:

User Sinoohe
by
9.0k points
3 votes
cos(x) = sin(x + 20)
cos(x) = sin(x)cos(20) + cos(x)sin(20)
cos(x) cos(x)
1 = tan(x)cos(20) + sin(20)
cos(20) cos(20)
sec(20) = tan(x) + tan(20)
1.06 ≈ tan(x) + 0.36
- 0.36 - 0.36
0.7 = tan(x)
tan⁻¹(0.7) = tan⁻¹[tan(x)]
35 = x

0 < x < 90
0 < 35 < 90
User Dave Whittaker
by
8.6k points
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