Question

Evaluate Tan^2 60+4sin^2 45+3sec^2 30+5cos^2 90/cosec 30+sec 60-cot^2 30

Answer 1

Step-by-step explanation:

step1: we have to the values of angles

step2: then we have to solve the values

step3:then we have to rationalize the denominator

Answer 2

$\dfrac{tan²60°+4cos²45°+3sec²30°+5cos²90°}{cosec30°+sec60°-cot²30°}$

$\dfrac{{(√3)}^{2}+4×({\dfrac{1}{√2})}^{2}+3× {(\dfrac{2}{√3})} ^{2}+5× {(0)}^{2} }{2+2-{(√3)} ^ {2}}$

$\dfrac{3 + 2 + 4 + 0}{2 + 2 - 3}$

$\dfrac{9}{1}$

$9$