Find the value of each of the following: 5 sin square 30°+ cos square 45°-4 tan square 30° / 2 sin square 30° cos square 30°+ tan 45°
Answers
Answered by
7
Question :-
Solution :-
we know that,
- sin30 = 1/2
- cos45 = 1/√2
- tan30 = 1/√3
- tan45 = 1
_______________________
substituting values in the question,
= 5(1/2)^2 + (1/√2)^2 - 4(1/√3)^2/2(1/2)^2 x (√3/2)^2 + 1
= 5(1/4) + (1/2) - 4(1/3) /2(1/4) x (3/4) + 1
= 5/4 + 1/2 - 4/3 / 1/2 x 3/4 + 1
= 7/4 - 4/3 / 3/8 + 1
= 5/12 / 3/8 + 1
= 5/12 / 11/8
= 5/12 x 8/11
= 40/132
= 10/33
Answered by
9
➾ Find the value of :-
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