Math, asked by sowmyasanal, 10 hours ago

EVALUATE THE FOLLOWING [class 10 trignometry]
[i]sin30+sin45+sin60+sin90=
[ii]cos30+cos45+cos60+cos90=
[iii]tan30+tan60+tan45

Answers

Answered by srikanthbaviri
0

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 krishnasaranb123
0

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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