Question

Dear Expert

Kindly assist to solve the following problems:

1. If Cot Theta =2, Find the values of all other Trigonometric Ratios Theta.

2. If 5 Cot Theta = 3, Evaluate 5 Sin Theta - 3 Cos Theta / 5 Sin Theta + 3 Cos Theta.

3. Evaluate Tan260 + 4 Cos245 + 8 Cosec260 / 2 Cosec 30 +3 Sec 60 + 7/3 Cot230.

4. Evaluate (Cosec2(90 - Theta) - Tan2Theta/ 4(Cos248 +Cos242)) - ( 2Tan230 x Sec252 x Sin238 / Cosec2 )

5. (Sin Theta -Cos Theta + 1 / Sin Theta + Cos Theta -1)=1 / Sec Theta - Tan Theta.

REQUESTAN URGENT REPLY, PLEASE.

Answer 1

Ans 1
sin theta = 1/(root 5)
cos theta = 2/(root 5)
tan theta = 1/2
cosec theta = (root 5)
sec theta = (root 5)/2
$\sqrt{5}$