Math, asked by ry005549, 6 months ago

(sin²45°-sin²60°) ÷ (cos30°+cos45°)​


ry005549: please solve this question step by stepe
nariseamalavathi: sorry bro unfortunately i reported ur answer
nariseamalavathi: i have posted the answer in a detail manner
nariseamalavathi: u can ask me if any doubts were raised in your mind

Answers

Answered by Merce
2

Answer:

11+✓3/4 . by is for the entire numerator. I hope it's correct


ry005549: please explain
Merce: sorry. I think the ans is 1/2✓3+2
ry005549: okay... wait for another ans
Merce: sin45=1=cos45, sin 60=✓3/2=cos30
Merce: by squaring the numerator we get
Merce: 1-3/4
Merce: denomenator we get, ✓3/2+1
Merce: 4-3/4/✓3+2/2
Merce: by solving we get 1/2✓3+2
ry005549: (√3-√2)÷2
Answered by nariseamalavathi
3

Step-by-step explanation:

(sin²45°-sin²60°) ÷ (cos30°+cos45°)

(1/√2)²-(√3/2)²÷(√3/2)+(1/√2)

(1/2)-(3/4)÷((√2×√3+2)/2√2)

=(2-3)/4÷√6+2/2√2

-1/4×2√2/(√6+2)

= -√2/2(√6+2)

= -1/√2(√6+2). (2=√2×√2)

= -1/((√12)+2)

= -1/2√3+2

Attachments:

ry005549: (√2-√3) ÷2
nariseamalavathi: i can't understand
nariseamalavathi: what u kept
ry005549: it is and
ry005549: ans
ry005549: in book
nariseamalavathi: oo
nariseamalavathi: but iam getting the same answer
nariseamalavathi: that key is in text book
nariseamalavathi: answer key
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