Question

Complete the following activity to find the value of:
tan 45°-sin2 45°+ cos2 45°


​

Answer 1

Answer:

Answer

We know, sin45

∘

=

2

1

,tan45

∘

=1 and cos45

∘

=

2

1

∴sin

2

45

∘

+tan

2

45

∘

+cos

2

45

∘

=(

2

1

)

2

+(1)

2

+(

2

1

)

2

=

2

1

+1+

2

1

=2