Question

Evaluate: tan² 30° sin 30° + cos 60° sin² 90° tan² 60° - 2 tan 45º cos² 0° sin 90°

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Answer 1

Answer:

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Step-by-step explanation:

tan

2

30°.sin30°+cos60°.sin

2

90°tan

2

60°−2tan45°.cos

2

0°.sin90°

=(

3

1

)

2

.

2

1

+

2

1

×1×(

3

)

2

−2×1×1×1

=

6

1

+

2

3

−2

=

6

1+9−12

=

6

−2

=

3

−1

Hence, the answer is

3

−1

.