If cos (theta) = x and sin 60o = x + 0.5 0o If cos (theta) = x and sin 60o = x + 0.5 0oo, find, correct to the nearest degree, the value of (theta) A. 32o B. 40o C. 60o D. 69o Correct Answer: Option D Explanation sin 60o = x + 0.5 0o(given) 0.8660 = x + 0.5 0.8660 – 0.5 = x x = 0.3660 cos(theta) = x(given) cos(theta) = 0.3660 Hence, (theta) = cos-1(0.3660) = 68.53o = 69o (nearest degree) `, props: [‘comment’], data() { return {} }, methods: {} }) {{ reply.posted_by.display_name }}:   {{ reply.created_at }}

If cos (theta) = x and sin 60o = x + 0.5 0oo, find, correct to the nearest degree, the value of (theta)
  • A.
    32o
  • B.
    40o
  • C.
    60o
  • D.
    69o
Correct Answer: Option D
Explanation

sin 60o = x + 0.5 0o(given)
0.8660 = x + 0.5
0.8660 – 0.5 = x
x = 0.3660
cos(theta) = x(given)
cos(theta) = 0.3660
Hence, (theta) = cos-1(0.3660)
= 68.53o
= 69o (nearest degree)

You May Also Like