Question

find the value of cos² 60°+ sec² 30° + tan² 45°​

Answer 1

Answer:

plz follow me

Step-by-step explanation:

mark as brainlist

Answer 2

Answer:

The answer to the given question is

$\frac{31}{12}$

Step-by-step explanation:

Given :

cos² 60°+ sec² 30° + tan² 45°

To find :

we have to find the value of the above expression.

Solution:

As we know the value of

$sin theta= \frac{perpendicular}{hypotenuse}$

The value of cos will be

$\frac{base}{hypotenuse}$

The value of tan is obtained by dividing the sin value by the cos value.

$\frac{perpendicular}{base}$

From the trigonometric table, we get the values as

cos 60°= 1/2

cos² 60°= (1/2)².

sec 30° = 2/√3

sec² 30°= (2/√3)²

tan 45°=1

tan²45°=1.

on substituting the value in the given expression we get the value as

${ (\frac{1}{2} )}^{2} + { (\frac{2}{ \sqrt{3} }) }^{2} + {1}^{2}$

on expanding the powers, the expression will become

$\frac{1}{4} + \frac{4}{3} + 1$

The LCM of the expression will be 12.

Then multiplying the numerator and denominator of all the terms to get the denominator as same as LCM

$\frac{1}{4} \times 3 + \frac{4}{3} \times 4 + 1 \times 12$

on further process, the value will be

$\frac{3 + 16+ 12}{12} \\ \frac{ 31}{12}$

The final answer is 31/12

# spj3

we can find similar questions through the link given below

https://brainly.in/question/12885013?referrer=searchResults