Question

Given 8secA"17;find out the other trigonometric ratios

Answer 1

Answer:

sinA = 15/17

cosA = 8/17

tanA = 15/8

cosecA = 17/15

secA = 17/8 ( Given )

cotA = 8/15

Step-by-step explanation:

Given that 8 secA = 17,

Therefore,

sec A = hypotenuse/adjacent = 17/8

=> hypotenuse = 17 units

adjacent = 8 units.

Using Pythagoras theorem,

opposite side = √ [(hypotenuse)² - (adjacent)²]

= √ [ 17² - 8² ]

= √ [ 289 - 64 ] = √225 = 15

opposite side = 15 units.

So,

sinA = opposite/hypotenuse = 15/17

cosA = adjacent/hypotenuse = 8/17

tanA = opposite/adjacent = 15/8

cosecA = hypotenuse/opposite = 17/15

secA = hypotenuse/adjacent = 17/8 ( Given )

cotA = adjacent/opposite = 8/15