Question

2
tan 2
45° +
cos? 30° – Sin 2 60°​

Answer 1

Answer:

2

Step-by-step explanation:

$tan45=1\\Therefore\ tan^{2} 45=1\\cos30=sin60= \frac{\sqrt{3}}{2} \\Therefore\ cos^{2} 30-sin^{2} 60=\frac{3}{4} -\frac{3}{4} =0\\Therefore\ 2tan^{2} 45+cos^{2} 30-sin^{2} 60=2*1+0=2$

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Answer 2

Answer:

Step-by-step explanation:

tan45

∘

=1,cos30

∘

=

2

3

​

​

,sin60

∘

=

2

3

​

​

 

∴2tan

2

45

∘

+cos

2

30

∘

−sin

2

60

∘

 

=2(1)

2

+(

2

3

​

​

)

2

−(

2

3

​

​

)

2

=2(1)=2

∴2tan

2

45

∘

+cos

2

30

∘

−sin

2

60

∘

=2