If theta lies in the first quadrant and 5 tan | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Given,$5 	an 	heta = 4$. Dividing the numerator and denominator of the expression by $\cos 	heta$,we get: $\frac{5 \sin 	heta - 3 \cos 	heta}

Vedclass · Accepted Answer

$\frac{5}{14}$

Vedclass · Answer

(A) Given,$5 	an 	heta = 4$. Dividing the numerator and denominator of the expression by $\cos 	heta$,we get: $\frac{5 \sin 	heta - 3 \cos 	heta}{\sin 	heta + 2 \cos 	heta} = \frac{5 \frac{\sin 	heta}{\cos 	heta} - 3}{\frac{\sin 	heta}{\cos 	heta} + 2}$ Since $	an 	heta = \frac{4}{5}$,substitute this value into the expression: $= \frac{5(\frac{4}{5}) - 3}{(\frac{4}{5}) + 2}$ $= \frac{4 - 3}{\frac{4 + 10}{5}}$ $= \frac{1}{\frac{14}{5}} = \frac{5}{14}$

If $\theta$ lies in the first quadrant and $5 \tan \theta = 4$,then $\frac{5 \sin \theta - 3 \cos \theta}{\sin \theta + 2 \cos \theta}$ is equal to

Similar Questions

If $R$ is the set of all real numbers and $f: R-\{2\} \rightarrow R$ is defined by $f(x)=\frac{2+x}{2-x}$ for $x \in R-\{2\}$,find the range of $f(x)$.

If the function $y = \sin^{-1} x$, then $(1 - x^2) \frac{d^2 y}{d x^2}$ is equal to

Which of the following is not correct?

If $f(x) = \frac{x}{1+|x|}$, for $x \in \mathbb{R}$, then $f^{\prime}(0)$ is equal to :

How many even numbers of $3$ different digits can be formed from the digits $1, 2, 3, 4, 5, 6, 7, 8, 9$ (repetition is not allowed)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module