in triangle ABC , right angled at c in which AB=29units , BC=21units and angle ABC= THETA . determine
1. cos^2 theta + sin^2 theta
2. cos^2theta-sin^2theta
3. tan^2theta-sec^2theta
Answers
Answered by
0
Answer:
41/841
Step-by-step explanation:
ANSWER
By Pythagoras theorem,
AB
2
=AC
2
+BC
2
⇒AC
2
=AB
2
−BC
2
⇒AC
2
=29
2
−21
2
=(29+21)(29−21)=50×8
⇒AC
2
=25×16
⇒AC=5×4=20 units
⇒cosθ=
AB
BC
=
29
21
,
sinθ=
AB
AC
=
29
20
⇒sin2θ+cos
2
θ=
29
2
21
2
+20
2
=
29
2
29
2
=1
⇒cos
2
θ−sin
2
θ=
29
2
21
2
−20
2
=
841
41
.
solution
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