Question

In a triangle ABC, right angled at A if tan C =root3, show that sin B cos C+cosBsinC=1.

Answer 1

SOLUTION

Refer to the attachment

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Answer 2

Answer:

In the given right angled triangle

tan A = 1/root 3

or, A = 30 

given C = 90 .... so, A + B + C = 180

                         or,  B = 60

Now, sinA.cosB + cosA.sinB = sin ( A + B ) = sin ( 30 + 60 ) = sin 90 = 1

Second question is similar to first one . Only when tan C = root 3 C = 60

Rest is same.

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Step-by-step explanation: