Evaluate : cosec 2 57° - tan 2 33° + cos 44° cosec 46° - cos 45° - tan 2 60°

Solving, ⇒ cosec 2 57° - tan 2 33° + cos 44° cosec 46° - cos 45° - tan 2 60° ⇒ cosec 2 57° - tan 2 (90° - 57°) + cos 44° cosec (90° - 44°) - By formula, tan(90° - A) = cot A and cosec(90° - A) = sec A ⇒ cosec 2 57° - cot 2 57° + cos 44° sec 44° - 1 - 3 By formula, cosec 2 A - cot 2 A = 1 ⇒ 1 + cos 44° - 1 - 3 ⇒ 1 + 1 - 1 - 3 ⇒ -2. Hence, cosec 2 57° - tan 2 33° + cos 44° cosec 46° - cos 45° - tan 2 60° = -2.

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

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If cos 62° 40' = x, the value of 1 + sin² 27° 20' is :
1 + x²
1 - x²
x² - 1
1 + x

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Mathematics

Evaluate : cosec<sup>2</sup> 57° - tan<sup>2</sup> 33° + cos 44° cosec 46° - cos 45° - tan<sup>2</sup> 60°

Trigonometric Identities

Related Questions

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

If cos 62° 40' = x, the value of 1 + sin² 27° 20' is :
1 + x²
1 - x²
x² - 1
1 + x

Mathematics

Evaluate : cosec<sup>2</sup> 57° - tan<sup>2</sup> 33° + cos 44° cosec 46° - cos 45° - tan<sup>2</sup> 60°

Trigonometric Identities

Related Questions

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

If cos 62° 40' = x, the value of 1 + sin2 27° 20' is :1 + x21 - x2x2 - 11 + x

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

If cos 62° 40' = x, the value of 1 + sin² 27° 20' is :
1 + x²
1 - x²
x² - 1
1 + x