sin² 34° + sin² 56° + 2 tan 18° tan 72° - cot² 30°

We need to find the value of: sin 2 34° + sin 2 56° + 2 tan 18° tan 72° - cot 2 30° The above equation can be written as, sin 2 34° + sin 2 (90 - 34)° + 2 tan 18° tan (90 - 18)° - cot 2 30°. As, sin(90 - θ) = cos θ, tan(90 - θ) = cot θ, sin 2 θ + cos 2 θ = 1, tan θ.cot θ = 1 and cot 30° = . Using in above equation we get, ⇒ sin 2 34° + cos 2 34° + 2 tan 18° cot 18° - ⇒ 1 + 2 - 3 = 0. Hence, the value of the above expression is 0.

Without using trigonometric tables, evaluate the following:
(cos² 25° + cos² 65°) + cosec θ sec(90° - θ) - cot θ tan (90° - θ).

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Mathematics

Without using trigonometric tables, evaluate the following:
sin² 34° + sin² 56° + 2 tan 18° tan 72° - cot² 30°.

Trigonometric Identities

Related Questions

Without using trigonometric tables, evaluate the following:
(cos² 25° + cos² 65°) + cosec θ sec(90° - θ) - cot θ tan (90° - θ).

Mathematics

Without using trigonometric tables, evaluate the following:sin2 34° + sin2 56° + 2 tan 18° tan 72° - cot2 30°.

Trigonometric Identities

Related Questions

Without using trigonometric tables, evaluate the following:(cos2 25° + cos2 65°) + cosec θ sec(90° - θ) - cot θ tan (90° - θ).

Without using trigonometric tables, evaluate the following:
sin² 34° + sin² 56° + 2 tan 18° tan 72° - cot² 30°.

Without using trigonometric tables, evaluate the following:
(cos² 25° + cos² 65°) + cosec θ sec(90° - θ) - cot θ tan (90° - θ).