Find out the value of sec(-75°)
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sec(-75)=sec75°
= 1/cos75°
=1/cos(45°+30°)
=1/cos45°cos30°-sin45°sin30°
=1/(1/√2) (√3/2)-(1/√2) (1/2)
=1/ (√3/2√2)-(1/2√2)
=1/(√3-1)/2√2
=2√2/(√3-1)
= 1/cos75°
=1/cos(45°+30°)
=1/cos45°cos30°-sin45°sin30°
=1/(1/√2) (√3/2)-(1/√2) (1/2)
=1/ (√3/2√2)-(1/2√2)
=1/(√3-1)/2√2
=2√2/(√3-1)
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