EVALUATE THE FOLLOWING [class 10 trignometry]
[i]sin30+sin45+sin60+sin90=
[ii]cos30+cos45+cos60+cos90=
[iii]tan30+tan60+tan45
Answers
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Step-by-step explanation:
[i] sin30+sin45+sin60+sin90=
1/2 + 1/√2 + √3/2 + 1
1/2+ √3/2+ 1/√2+1
1+√3 / 2 + 1+√2 / √2
√2( 1+√3) + 2( 1+√2) / 2√2 ( LCM )
√2+√6+2+2√2 / 2√2
2+√6+3√2 / 2√2
(ii) √3/2 + 1 + 1/2+0
1+√3 / 2 + 1
1+√3+2 / 2
3+√3 / 2
(iii) 1/√3 + √3 + 1
1+3+√3 / √3
4+√3 / √3
Answered by
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i] sin 30=1/2
sin 45= 1/√2
sin 60=√3/2
sin 90=1
so,√3/4√2
ii] √3/2+1/√2+0=√3/2√2
iii]2√3/√3
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