Question

Given the triangle shown, which of the following is true?A- sinB=c/bB- cosA=b/cC- tanA= b/aD- sinB= a/c

Answer 1

Step 1: Draw the diagram

Considering B as the given angle

oppsite=b, adjacent=a and hypotenues=c

From trigonometry ratio,

`\sin B=(opp)/(hyp)=(b)/(c)`

Considering angle A as the given angle

opposite=a, adjacent=b and hypotenues=c

`\cos A=(adj)/(hyp)=(b)/(c)`

`\text{tan A=}(opp)/(adj)=(a)/(b)`

hence CosA=b/c is True according to the options