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Standard X
Mathematics
Standard Values of Trigonometric Ratios
The value of ...
Question
The value of cos thita cos(90- thita) minus sin thita sin(90- thita) is:
A) 1
B) 0
C) 2
D) -1
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Solution
(90°-ϴ) pertains to first quadrant wherein sine changes to cosine with positive sign and vice versa, if the angle is 90°- ϴ.
So, sin(90°-ϴ) = cos ϴ and vice versa. Hence, on substituting the values the answer is zero.
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1+cos thita - sin thita/ cos thita -1+ sin thita = cosec thita + cot thita
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