Question 69

The value of $$sec^217^\circ-\frac{1}{tan^273^\circ}-sin17^\circ sec73^\circ$$

Solution

Expression : $$sec^217^\circ-\frac{1}{tan^273^\circ}-sin17^\circ sec73^\circ$$

Using, $$sec(90^\circ-\theta)=cosec \theta$$ and $$cot(90^\circ-\theta)=tan \theta)$$

= $$[sec^217^\circ-cot^273^\circ]-[sin17^\circ \times sec(90^\circ-17^\circ)]$$

= $$[sec^217^\circ-tan^2(90^\circ-17^\circ)]-[sin17^\circ \times cosec17^\circ]$$

Using, $$sin\theta cosec\theta=1$$ and $$(sec^2\theta-tan^2\theta=1)$$

= $$(sec^217^\circ-tan^217^\circ)-1$$

= $$1-1=0$$

=> Ans - (B)


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