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**What is identity?**

**Prove `sin^2 theta + cos^2 theta=1`**

**Prove `sec^2 theta = 1+ tan^2 theta`**

**Prove `cosec^2 theta = 1 + cot^2theta`**

**Show : `2 sec^2 theta - sec^4 theta - 2 cosec^2 theta + cosec^4 theta = cot^4 theta - tan^4 theta`**

**For any acute angle `theta`; Prove (i) tan `theta` = sin`theta`/cos`theta` (ii) cot `theta` = cos `theta`/sin`theta`**

**Prove `1/(1+sintheta)+1/(1-sintheta) = 2 sec^2 theta`**

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

**If `cos theta + sintheta = sqrt2 cos theta`; show that `costheta- sintheta = sqrt2 sintheta`**

**If `acostheta-b sintheta =c`; prove that `a sin theta + b costheta = pmsqrt(a^2+b^2-c^2)`**