3 sin45° cos45° + 4 cos60°. cos30°
Answers
Given:- 3 sin45° cos45° + 4 cos60° . cos 30°
To Find:- Its simplified value .
Solution:- We know that ,
- sin 45° = 1/ √2
- cos 45° = 1/ √2
- cos 60° = 1/2
- cos30° = √3/2 .
Puttting the respective values ,
= 3 sin45° cos45° + 4 cos60° . cos 30°
= 3 × 1/√2 × 1/√2 + 4 × 1/2 × √3/2
= 3 × 1/2 + 4 × √3/4
= 3/2 + √3
= ( 3 + 2√3 )/ 2
★ Hence the required answer is (3+2√3)/2.
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Answer:
Learn This Formula For Solving These Equations Go Through the photo
Step-by-step explanation:
3sin45°cos45°+4cos60°. cos30°
(Apply The Values)
3(1/√2)*1/√2 + 4(1/2) * √3/2
3/√2*1/√2 +2*√3/2
3/2+√3
OR
(3+2√3)/2
3.2320
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