The value of (cos^{2}60° sin30° + tan^{2}60° sin^{2}60°)/(24cos^{2}45° tan^{2}30° - tan^{2}60°) is -

- 18/7
- 19/8
- 21/8
- 19/7

Option 2 : 19/8

**Given:**

(cos260° sin30° + tan260° sin260°)/(24cos245° tan230° - tan260°)

**Formula Used:**

**Calculation:**

(cos260° sin30° + tan260° sin260°)/(24cos245° tan230° - tan260°)

Putting the value –

⇒ (1/4 × 1/2 + 3 × 3/4)/(24 × 1/2 × 1/3 – 3)

⇒ (1/8 + 9/4)/(24/6 – 3)

⇒ (19/8)/(4 – 3)

⇒ 19/8

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