Math, asked by ravikirandyagala, 3 months ago

The value of sec theeta =√10 and theeta is an acute angle hence find the value of tan theeta - cot theeta​

Answers

Answered by prabhas24480
29

Cosec theta = ✓10/1 = H/P

H = ✓10 , P = 1

By pythagoras theroem,

(H)² = (B)² + (P)²

(B)² = (H)²-(P)²

(B)² = (✓10)² - (1)²

(B)² = 10-1 => 9

B = ✓9 = 3

Therefore,

Sin theta = P/H = 1/✓10

Cos theta = B/H = 3/✓10

Tan theta = P/B = 1/3

Cot theta = B/P = 3/1

Sec theta = H/B = ✓10/3

Cosec theta = H/P = ✓10/1

Answered by BrainlyFlash156
64

\huge \mathcal{ \fcolorbox{cyan}{black}{ \green{Solution:-}}}

Cosec theta = ✓10/1 = H/P

H = ✓10 , P = 1

By pythagoras theroem,

(H)² = (B)² + (P)²

(B)² = (H)²-(P)²

(B)² = (✓10)² - (1)²

(B)² = 10-1 => 9

B = ✓9 = 3

Therefore,

Sin theta = P/H = 1/✓10

Cos theta = B/H = 3/✓10

Tan theta = P/B = 1/3

Cot theta = B/P = 3/1

Sec theta = H/B = ✓10/3

Cosec theta = H/P = ✓10/1

Similar questions