Question

Find the value of (sin² 33° + sin² 57°)

Answer 1

Answer:

Step-by-step explanation:

Given :-

sin² 33° + sin² 57°

To Find :-

The Value

Formula or Identity to be used :-

Sin²θ + cos²θ = 1

Solution :-

= sin² 33° + sin² 57°

= sin² 33° + cos² (90° - 57°)

= 1        [Sin²θ + cos²θ = 1]

Hence, The Required value is 1.

Answer 2

$\large\underline{ \underline{ \sf \: Answer : \: \: \: }}$

$\to \sf 1$

$\large\underline{ \underline{ \sf \: Explaination : \: \: \: }}$

$\to \sf {sin}^{2} \: 33° + {sin}^{2} \: 57° \\ \\ \to \sf</p><p> {(sin \: 33°) }^{2} + { (sin \: \{90 °- 33° \} )}^{2} \\ \\ \to \sf {(sin \: 33°) }^{2} + {(cos \: 33°)}^{2} \\ \\ \to \sf 1$

$\large\underline{ \underline{ \sf \: Formula \: used : \: \: \: }}$

$\star \: \: \sf sin \: (90 - \theta) = cos \: \theta \\ \\ \star \: \: \sf {sin}^{2} \: x + {cos}^{2} \: x = 1$