If sin(C + D)= √3/2 and sec (

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sin(C + D)= √3/2 and sec (C - D)= 2/√3 then what is the value of C and D ?

Options:

45 degree and 15 degree

30 degree and 30 degree

15 degree and 30 degree

60 degree and 30 degree

Correct Answer:

45 degree and 15 degree

Explanation:

sin(C + D)= √3/2

C + D = 60° ..............(i)

sec (C - D)= 2/√3

C - D = 30° ................(ii)

Solving (i), (ii)

C = 45°, D = 15°