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In triangle ABC, angle C has a measure of 90°. If sin A 5 0.6, what is the value of cos B?
  • a)
    0.3
  • b)
    0.4
  • c)
    0.6
  • d)
    0.8
Correct answer is option 'C'. Can you explain this answer?
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In triangle ABC, angle C has a measure of 90°. If sin A 5 0.6, wha...
It always helps to draw a diagram for geometry and trigonometry problems. For this problem, we also have to remember the basic definitions of the trigonometric functions discussed in Chapter 10, Lesson 9: SOH CAH TOA.

Since sin A 5 0.6, this means a/c 5 0.6. Notice that cos B is also a/c, so it must also equal 0.6. This is an example of the cofunction identity we discussed in Chapter 10, Lesson 10.
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In triangle ABC, angle C has a measure of 90°. If sin A 5 0.6, what is the value of cos B?a)0.3b)0.4c)0.6d)0.8Correct answer is option 'C'. Can you explain this answer?
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