if tan teeta =15/8then find all function
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Given that,
tanθ = 15/8
So, hypotenuse = √(15² + 8²)
= √(225 + 64)
= √289
= 17
Then,
sinθ = 15/17,
cosθ = 8/17,
cotθ = 1/(tanθ) = 1/(15/8) = 8/15,
cosecθ = 1/(sinθ) = 1/(15/17) = 17/15,
secθ = 1/(cosθ) = 1/(8/17) = 17/8
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Heya !!
Tan ¢ = 15/8 = P/B
P = 15 and B = 8
By Pythagoras theorem ,
( H )² = ( B)² + (P)²
(H)² = (8)² + (15)²
(H)² = 289
H = ✓289
H = 17
Therefore,
Sin ¢ = P/H = 15/17
Cos¢ = B/H = 8/17
Cosec¢ = H/P = 17/15
Sec ¢ = H/B = 17/8
Tan¢ = P/B = 15/8
And,
Cot¢ = B/P = 8/15.
Tan ¢ = 15/8 = P/B
P = 15 and B = 8
By Pythagoras theorem ,
( H )² = ( B)² + (P)²
(H)² = (8)² + (15)²
(H)² = 289
H = ✓289
H = 17
Therefore,
Sin ¢ = P/H = 15/17
Cos¢ = B/H = 8/17
Cosec¢ = H/P = 17/15
Sec ¢ = H/B = 17/8
Tan¢ = P/B = 15/8
And,
Cot¢ = B/P = 8/15.
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