If tan x = \(\frac{3}{4}\), 0 < x < 90\(^o\), evaluate \(\frac{\cos x}{2 sin x}\)
\(\frac{8}{3}\)
\(\frac{3}{2}\)
\(\frac{4}{3}\)
\(\frac{2}{3}\)
Correct answer is D
y\(^2\) = 3\(^2\) + 4\(^2\)
y\(^2\) = 9 + 16
y = \(\sqrt{25}\)
= 5
\(\frac{\cos x}{2 \sin x} = \frac{4}{5} + 2 \times \frac{3}{5}\)
= \(\frac{4}{5} \times \frac{5}{6}\)
= \(\frac{2}{3}\)
Similar Questions
if \(\frac{4m+3n}{4m-3n}=\frac{5}{2}\), find the ratio m:n...
In the diagram above, O is the center of the circle QOR is a diameter and ∠PSR is 37°. Find ...
Use the graph of sin (θ) above to estimate the value of θ when sin (θ) = -0.6 for ...
If 9x2 + 6xy + 4y2 is a factor of 27x3 - 8y3, find the other factor. ...
Simplify \(\frac{\sqrt{12} - \sqrt{3}}{\sqrt{12} + \sqrt{3}}\)...
Evaluate \(\int^{1}_{-2}(x-1)^{2}dx\) ...
In the diagram, PQST and QRST are parallelograms. Calculate the area of the trapezium PRST. ...
For what value of x is the expression \(\frac{2x - 1}{x + 3}\) not defined?...