(iv)
2 tan
245° + cos 230° - sin 60°
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1
Answer:
The value of given expression is 2.
Step-by-step explanation:
we have to evaluate
2\tan^2 45^{\circ}+\cos^2 30^{\circ}-\sin^2 60^{\circ}2tan
2
45
∘
+cos
2
30
∘
−sin
2
60
∘
\tan 45^{\circ}=1tan45
∘
=1
\cos 30^{\circ}=\frac{\sqrt3}{2}cos30
∘
=
2
3
\sin 60^{\circ}=\frac{\sqrt3}{2}sin60
∘
=
2
3
2\tan^2 45^{\circ}+\cos^2 30^{\circ}-\sin^2 60^{\circ}2tan
2
45
∘
+cos
2
30
∘
−sin
2
60
∘
2(1)^2+(\frac{\sqrt3}{2})^2-(\frac{\sqrt3}{2})^22(1)
2
+(
2
3
)
2
−(
2
3
)
2
2+\frac{3}{4}-\frac{3}{4}2+
4
3
−
4
3
22
The value of given expression is 2.
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