i)show that sin 35° cos55° + sin55° cos35° = 1
ii)express in terms of angle between 0° and 45° cos81°+cot 81°
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mujhe to ye chapter hi samajh nahi aaya
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ok hi lets start the question now
in the first question it is given
that sin35cos55
as we know complementary angles that is
Sin(A)=cos(90-A)
value of A is 35 so we get it as
cos^2 55
this is added to sin 55 cos 35
using the same logic above we get sin ^2 55
so we should now add
cos^2 55 +sin^2 55
now we use the first trigonometric identity
that is
(sin^2 A +Cos^2 A)=1
so the value of A is 55 in our case so we get the answer as 1
now moving on to the second question
express the terms between angles of 0 to 45 degrees
so by using complementary angles we can write
cos 81 as Sin9
also we can write
cot 81 as tan 9
so we get the answer as sin 9+tan 9
hope it helps you
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