Question

if sin theta=4/3 evaluate (sin theta + cos theta) = 7/5​

Answer 1

Answer:

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Step-by-step explanation:

Given that: tanx =4/3 ------(1)

so we know that .

===) tanx = p/b -------(2)

comparing both equation..we get.

p=4 , b= 3

now using Pythagoras theorem

h² = b² + p²

h = √(3²+4²) = 5

now using trigonometric ratios rule

sinx = p/h = 4/5 ------(a)

cosx =b/h = 3/5 ----(b)

hence , adding both equation (a) +(b)

=> sinx+cosx = 4/5 + 3/5 = 7/5

proved..