If `theta=240^@` is the following statement correct? `2sin\ theta/2=sqrt(1+sintheta)-sqrt(1-sintheta)`

Find the general values of theta satisying the following two equations: sintheta=1/sqrt(2) and sectheta=-sqrt(2)

Show : (1+tan^2theta)(1+sintheta)(1-sintheta) = 1

If 0^(@)lethetale90^(@) , then solve the following equations : (i) (costheta)/(1-sintheta)+(costheta)/(1+sintheta)=4 (ii) (cos^(2)theta-3costheta+2)/(sin^(2)theta)=1 (iii) (costheta)/("cosec"theta+1)+(costheta)/("cosec"theta-1)=2

If 0 leq theta leq pi and sin(theta/2)=sqrt(1+sintheta)-sqrt(1-sintheta) , then the possible value of tan theta is (a) 4/3 (b) 0 (c) -3/4 (d) -4/3

Simplify: (1+tan^(2)theta)(1-sintheta)(1+sintheta)

Find the general values of theta from the following equations: i) sintheta=-sqrt(3)/(2) ii) sectheta=-sqrt(2) iii) cottheta=-1/sqrt(3) , iv) "cosec"theta=-2

Evaluate the following integral: int_0^(pi//2)(sintheta)/(sqrt(1+costheta))d theta

Solve the following equation: sintheta+sin2theta+sin3theta+sin4theta=0

Prove the following identities: ((1+sintheta)^2+(1-sintheta)^2)/(cos^2theta)=2((1+sin^2theta)/(1-sin^2theta))

Prove the following identities: ((1+sintheta)^2+(1-sintheta)^2)/(cos^2theta)=2((1+sin^2theta)/(1-sin^2theta))