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1) sin65 + sin43 – sin29 - sin7=? Angles are in degrees. ​2) sin(pi cot theta)= cos(pi tan theta) then cot2theta=? 3)cosxcosysin(x-y) + cosycoszsin(y-z) + coszcosxsin(z-x) + sin(x-y)sin(y-z)sin(z-x)=?

1) sin65 + sin43 – sin29 - sin7=?
Angles are in degrees.
​2) sin(pi cot theta)= cos(pi tan theta)
then cot2theta=?
3)cosxcosysin(x-y) + cosycoszsin(y-z) +    coszcosxsin(z-x) +                 sin(x-y)sin(y-z)sin(z-x)=?

Grade:11

1 Answers

Ravi
askIITians Faculty 69 Points
8 years ago
2
\sin({\pi} cot \theta)= cos({\pi} tan \theta)

\sin({\pi} cot \theta)= sin({\pi}/2+{\pi} tan \theta)

({\pi} cot \theta)=({\pi}/2+{\pi} tan \theta)

Solve for tan(theta) and find the value of tan2(theta). Reciprocate to get to the value of cot2(theta)
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