Math, asked by shruti142, 1 year ago

solve this problem......

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Answered by siddhartharao77
2
Given Equation is sin20cos 80 + cos20sin80.

It is in the form of sinAcosB+cosAsinB = sin(A+B).

sin20cos80+cos20sin80 = sin(20 + 80)

                                           = sin(100)

                                           = sin(90 + 10)

                                           = cos 10

                                           = 0.98480.


Hope this helps!

Kanha221: ans = 1
siddhartharao77: Approximate value.
Answered by Róunak
2
sin 20° cos 80° + cos 20° sin 80°

= sin ( 90°-80°) + cos ( 90°-80°) sin 80°

= cos 80° cos 80° + sin 80° sin 80°

= cos^2 80° + sin^2 80°

= 1

( Because, sin^2 theta + cos^2 theta = 1)
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