4/3×tan²30°+sin²30°-3/4×tan²60°-2×tan²45°
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Answer:
tan30 = 1/√3
tan 60 = tan(90-30)= cot 30 = √3
cos60 = 1/2
tan 45 = 1
So
4/3 tan2 30 + sin2 60 - 3cos2 60 + tan2 60 3/4. - 2 tan2 45
= 4/3 × 1/3 + sin2 60 + cos2 60 - 4 cos2 60 + 9/4 - 2
= 4/9. + 1 - 4/4 + 9/4 -2
= 4/9 +1-1 +9/4 -2
= 16 + 81 - 72)/36
= 25/36
Step-by-step explanation:
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