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If tan θ = 5/4, find sin2θ - cos2θ.

Mathematics
JAMB 2006
If tan θ = 5/4, find sin2θ - cos2θ.
  • A. 5/4
  • B. 41/9
  • C. 9/41
  • D. 1
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Correct Answer: Option C
Explanation
Tan θ = 5/4
x2 = 52 + 42
= 25 + 16
= 41
x = √41
sin2θ - cos2θ = (5/√41)2 - (4/√41)2
= 25/41 - 16/41
= 9/41

There is an explanation video available below.

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Explanation Video

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WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Post UTME Past Questions Agent
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WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts