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ICSE Class 10 Answered

if a is an acute angle and sec a = 17/8, find all other trigonometric rarios of angle a ( using trigonometric indentities).
Asked by aritramalakar4 | 13 Apr, 2024, 08:33: PM
answered-by-expert Expert Answer

we are given that sec ( α ) = 17/8 .

Inthe triangle AOB given in figure ,

sec ( α ) = AB / BO = 17/8

AO = [ 172 - 82 ]1/2 = 15

sin( α ) = AO/AB = 15/17

cos( α ) = BP/AB = 8/17

tan( α ) = AO/OB = 15/8

cot( α )= OB/AO = 8/15

cosec( α ) = AB/AO = 17/15

Answered by Thiyagarajan K | 15 Apr, 2024, 08:20: AM

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