Question

Choose the correct answer from the alternatives given.
The greatest value of $si{n}^4\theta +co{s}^4\theta$ is

• A. 2
• B. 3
• C. 1/2
• D. 1

Answer 1

Answer: (D)

1

$Si{n}^4\theta +co{s}^4\theta$
Maximum value of sin $\theta$ = 1 ($\theta$ = ${90}^{\circ }$)
Maximum value of cos $\theta$ = 1 ($\theta$ = $0^{\circ }$)
$Si{n}^4\theta +co{s}^4\theta =(sin\theta {)}^4+(cos\theta {)}^4$
At $\theta$ = ${90}^{\circ }$
$(1{)}^4$ + 0 = 1