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If xsin30°cos60° = sin45°cos45°, then the value of x is:

A2

B0

C1

D3

Answer:

A. 2

Read Explanation:

Solution:

Trigonometry value used:


image.png

Calculation:

x sin30° cos60° = sin45° cos45°

⇒ x (1/2) (1/2)  = (1/√2) (1/√2)

⇒ x/4 = 1/2

⇒ x = 4/2

⇒ x = 2

∴ Value of x is 2.

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The value of cosec230∘sin⁡245∘+sec⁡260∘tan60∘cosec245∘−sec⁡260∘tan45∘\frac{{\rm cose{c^2}30^\circ {{\rm \sin }^2}45^\circ + {{\rm \sec }^2}60^\circ }}{{\rm tan60^\circ \rm cose{c^2}45^\circ - {{\rm \sec }^2}60^\circ \rm tan45^\circ }}  is: