sin 30° cos 60° - sin^ 45 cos^2+ tan 60 =
Answers
Answered by
1
Answer:
Given:
2 \tan 45tan45 ° + \cos 60cos60 ° - \sin 30sin30 °
We have to find, the value of 2 \tan 45tan45 ° + \cos 60cos60 ° - \sin 30sin30 ° = ?
Solution:
∴ 2 \tan 45tan45 ° + \cos 60cos60 ° - \sin 30sin30 °
= 2(1) + \dfrac{1}{2}
2
1
- \dfrac{1}{2}
2
1
Using the trigonometric identity:
\tan 45tan45 ° = 1, \cos 60cos60 ° = \dfrac{1}{2}
2
1
and \sin 30sin30 ° = \dfrac{1}{2}
2
1
= 2 + \dfrac{1}{2}
2
1
- \dfrac{1}{2}
2
1
= 2
∴ 2 \tan 45tan45 ° + \cos 60cos60 ° - \sin 30sin30 ° = 2
Thus, the value of 2 \tan 45tan45 ° + \cos 60cos60 ° - \sin 30sin30 ° = 2.
Answered by
1
- answer- the answer is 2 and 10th bord question
step by step answer-
as we know 45°=1
cos 60°=1/2
sin 30°=1/2
put the value and you would get the
answer as 2°
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