Question

Value of 1/2sin²90°+1/8cos²60°

Answer 1

Answer:

Value of $\dfrac{1}{2sin^{2}90} + \dfrac{1}{8cos^{2}60}$ is 1

Step-by-step explanation:

Given,

• $\dfrac{1}{2sin^{2}90} + \dfrac{1}{8cos^{2}60}$ ---------(i)

We have to find the value of above equation,

where,

• $sin^{2}90 = (1)^2 = 1$
• $cos^{2}60 = (.5)^2 = 0.25$

Now,

put the above values in equation (i)

$\dfrac{1}{2\times1} + \dfrac{1}{8\times0.25}$

= $\dfrac{1}{2} + \dfrac{1}{2}$

=$2\times\dfrac{1}{2}$

= 1