Ask Question
16 October, 01:54

If angle A is 45 degrees and angle B is 60 degrees.

Find sin (A) cos (B)

½ (sin (105) + sin (345))

½ (sin (105) - sin (345))

½ (sin (345) + cos (105))

½ (sin (345) - cos (105))

+4
Answers (1)
  1. 16 October, 01:56
    0
    (1/2) (sin (105°) + sin (345°))

    Step-by-step explanation:

    The relevant identity is ...

    sin (α) cos (β) = (1/2) (sin (α+β) + sin (α-β))

    This falls out directly from the sum and difference formulas for sine.

    Here, you have α = 45° and β = 60°, so the relevant expression is ...

    sin (45°) cos (60°) = (1/2) (sin (45°+60°) + sin (45°-60°)) = (1/2 (sin (105°) + sin (-15°))

    Recognizing that - 15° has the same trig function values that 345° has, this can be written ...

    sin (45°) cos (60°) = (1/2) (sin (105°) + sin (345°))
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “If angle A is 45 degrees and angle B is 60 degrees. Find sin (A) cos (B) ½ (sin (105) + sin (345)) ½ (sin (105) - sin (345)) ½ (sin (345) + ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers