Evaluate without using trigonometric tables.

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(i) cos² 26° + cos 64° sin 26° + \frac { tan{ 36 }^{ O } }{ { cot54 }^{ O } }
(ii) \frac { sec{ 17 }^{ O } }{ { cosec73 }^{ O } } +\frac { tan68^{ O } }{ cot22^{ O } } + cos² 44° + cos² 46°

Solution:

Given that
(i) cos² 26° + cos 64° sin 26° + \frac { tan{ 36 }^{ O } }{ { cot54 }^{ O } }

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 18 Trigonometric Identities Ex 18 Q6.1

(i) \frac { sin65^{ O } }{ { cos25 }^{ O } } +\frac { cos32^{ O } }{ sin58^{ O } } – sin 28° sec 62° + cosec² 30° (2015)
(ii) \frac { sin29^{ O } }{ { cosec61 }^{ O } } + 2 cot 8° cot 17° cot 45° cot 73° cot 82° – 3(sin² 38° + sin² 52°).

Solution:

given that
(i) \frac { sin65^{ O } }{ { cos25 }^{ O } } +\frac { cos32^{ O } }{ sin58^{ O } } – sin 28° sec 62° + cosec² 30°

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 18 Trigonometric Identities Ex 18 Q7.1

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