Evaluate the following:frac{5 cos ^{2} 60^{ci | vedclass

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

Question

(A) Given expression: $\frac{5 \cos ^{2} 60^{\circ}+4 \sec ^{2} 30^{\circ}-	an ^{2} 45^{\circ}}{\sin ^{2} 30^{\circ}+\cos ^{2} 30^{\circ}}$Using trig

Vedclass · Accepted Answer

$67$

Vedclass · Answer

(A) Given expression: $\frac{5 \cos ^{2} 60^{\circ}+4 \sec ^{2} 30^{\circ}-	an ^{2} 45^{\circ}}{\sin ^{2} 30^{\circ}+\cos ^{2} 30^{\circ}}$Using trigonometric values: $\cos 60^{\circ} = 1/2$,$\sec 30^{\circ} = 2/\sqrt{3}$,$	an 45^{\circ} = 1$,$\sin 30^{\circ} = 1/2$,$\cos 30^{\circ} = \sqrt{3}/2$.Substituting these values:$= \frac{5(1/2)^{2} + 4(2/\sqrt{3})^{2} - (1)^{2}}{(1/2)^{2} + (\sqrt{3}/2)^{2}}$$= \frac{5(1/4) + 4(4/3) - 1}{1/4 + 3/4}$$= \frac{5/4 + 16/3 - 1}{4/4}$$= \frac{(15 + 64 - 12)/12}{1}$$= 67/12$

Evaluate the following:
$\frac{5 \cos ^{2} 60^{\circ}+4 \sec ^{2} 30^{\circ}-\tan ^{2} 45^{\circ}}{\sin ^{2} 30^{\circ}+\cos ^{2} 30^{\circ}}$ (in $/12$)

Similar Questions

Evaluate:
$\frac{\tan 26^{\circ}}{\cot 64^{\circ}}$

In the given figure,find $\tan P - \cot R$.

Given $15 \cot A = 8$,find $\sin A$ and $\sec A$.

$\frac{1-\tan ^{2} 45^{\circ}}{1+\tan ^{2} 45^{\circ}}=$

Evaluate $\frac{\tan 65^{\circ}}{\cot 25^{\circ}}$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Evaluate the following:$\frac{5 \cos ^{2} 60^{\circ}+4 \sec ^{2} 30^{\circ}-\tan ^{2} 45^{\circ}}{\sin ^{2} 30^{\circ}+\cos ^{2} 30^{\circ}}$ (in $/12$)