If tan θ = 4/3, calculate sin²θ - cos²θ. A 16/25 B 24/25 C 7/25...

If tan θ = 4/3,
calculate sin²θ - cos²θ.
A

16/25
B

24/25
C

7/25
D

9/25?

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Answers (5)

Jay-Jay
3 months ago
tan@=4/3
draw a right-angle triangle
opp=4
adj=3
hyp=?
find hyp using pythagoras theorem
hyp2=opp2 + adj2
hyp^2=4^2 + 3^2
hyp^2=16+9
hyp^2=25
hyp=sqrt(25)
hyp=5
sin=opp/hyp=4/5
cos=adj/hyp=3/5
sin^2 @ - cos^2 @
(4/5)^2 - (3/5)^2
16/25 - 9/25
(16-9)/25
7/25
Muhammed
3 months ago
16/9
Psycho
3 months ago
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