Find the best way to solve the introduction to trigonometry questions today i am solving this question but i can’t solve this question no.1(2) of exercise 8.2 find the best way to solve this problem. Evaluate the following: (ii) 2 tan2 45° + cos2 30° – sin2 60 .
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2 tan2 45° + cos2 30° – sin2 60
We know that, the values of the trigonometric ratios are:
sin 60° = √3/2
cos 30° = √3/2
tan 45° = 1
Substitute the values in the given problem
2 tan2 45° + cos2 30° – sin2 60 = 2(1)2 + (√3/2)2-(√3/2)2
2 tan2 45° + cos2 30° – sin2 60 = 2 + 0
2 tan2 45° + cos2 30° – sin2 60 = 2