Question

tan theta = 3/4 find the value of cos theta + sin theta/ cos theta - sin thet​

Answer 1

Answer:

Tanθ=34[oppositeadjacent]Tanθ=34[oppositeadjacent]

cosθ=45andsinθ=35cosθ=45andsinθ=35

[3,4,5arethesidesofarightangledtriangle][3,4,5arethesidesofarightangledtriangle]

cosθ−sinθcosθ+sinθ=cosθ−sinθcosθ+sinθ=

45−3545+35=45−3545+35=

15751575

17

Answer 2

4tanθ = 3 so, tanθ = 3/4

Now, (4sinθ - cosθ)/(4sinθ + cosθ)

First of all divide cosθ with both LHS and RHS ,

(4sinθ/cosθ - cosθ/cosθ)/(4sinθ/cosθ + cosθ/cosθ)

= (4tanθ - 1)/(4tanθ + 1)

Now, put tanθ = 3/4

= (4 × 3/4 - 1)/(4 × 3/4 + 1)

= (3 - 1)/(3 + 1)

= 2/4 = 1/2

Hence, answer is 1/2