Trigonometry sintheta = m/n find 4tan + 4/4cot + 1
Q. If $\sin θ = \frac{m}{n}$ , find the value of $\frac{\tan θ + 4}{4 c o t θ + 1}$

Question

Trigonometry sintheta = m/n find 4tan + 4/4cot + 1
Q If sin θ = m n , find the value of tan θ + 4 4   c
o t θ + 1

Abhishek Kr. Jha · Accepted Answer

Dear student,
Here is the solution of your asked query:
sinθ=mn⇒cosθ=1-sin2θ = 1-m2n2=n2-m2nNow, we have;tanθ+44cotθ+1=sinθcosθ+44cosθsinθ+1= sinθ+4cosθcosθ×sinθ4cosθ+sinθ=mn+4n2-m2nn2-m2n×mn4n2-m2n+mn=m+4n2-m2n2-m2×m4n2-m2+m=mn2-m2            
Regards

Trigonometry sintheta = m/n find 4tan + 4/4cot + 1 Q. If sin θ = m n , find the value of tan θ + 4 4 c o t θ + 1

Trigonometry sintheta = m/n find 4tan + 4/4cot + 1
Q. If $\sin θ = \frac{m}{n}$ , find the value of $\frac{\tan θ + 4}{4 c o t θ + 1}$