Question

if cot theta=7/8 then find:(1+sintheta/1+costheta )

Answer 1

Step-by-step explanation:

(I will use A here insted of theta for convenience)

cotA=7/8

Therefore, Two sides of the triangle are 7 and 8. The remaining side is hypotenuse.

Using Pythagoras Theorem, Hypotenuse²=√{(7²)+(8²)}

Hypotenuse=√113

sinA=8/√113 --(1)

cosA=7/√113 --(2)

Using (1) and (2) in the equation (1+sinA/1+cosA)

=(1+8/√113)/(1+7/√113)

=(√113+8)/√113÷(√113+7)/√113

=(√113+8)/(√113+7)

=18.63/17.63

=1.05