What sign has $\sin A+\cos A$ for the following value of $A=-1125°$?

Important Questions on Trigonometrical Ratios of Angles of any Size and Sign

MEDIUM

JEE Main

IMPORTANT

Plane Trigonometry Part 1>Chapter 5 - Trigonometrical Ratios of Angles of any Size and Sign>EXAMPLES X>Q 32

What sign $\sin A-\cos A$ has for the value of $A={215}^{\circ }$?

MEDIUM

JEE Main

IMPORTANT

Plane Trigonometry Part 1>Chapter 5 - Trigonometrical Ratios of Angles of any Size and Sign>EXAMPLES X>Q 33

What sign has $\sin A-\cos A$ for the following value of $A=825°$?

MEDIUM

JEE Main

IMPORTANT

Plane Trigonometry Part 1>Chapter 5 - Trigonometrical Ratios of Angles of any Size and Sign>EXAMPLES X>Q 34

What sign has $\sin A-\cos A$ for the following value of $A=-634°$?

EASY

JEE Main

IMPORTANT

Plane Trigonometry Part 1>Chapter 5 - Trigonometrical Ratios of Angles of any Size and Sign>EXAMPLES X>Q 35

What sign $\sin A-\cos A$ has for the value of $A=-457°$?

MEDIUM

JEE Main

IMPORTANT

Plane Trigonometry Part 1>Chapter 5 - Trigonometrical Ratios of Angles of any Size and Sign>EXAMPLES X>Q 36

Find the sines and cosines of all angles in the first four quadrants whose tangents are equal to $\cos 135°$.

EASY

JEE Main

IMPORTANT

Plane Trigonometry Part 1>Chapter 5 - Trigonometrical Ratios of Angles of any Size and Sign>EXAMPLES X>Q 37

Prove that: $\sin \left({270}^{\circ }+A\right)=-\cos A$ and $\tan \left({270}^{\circ }+A\right)=-\cot A$.

EASY

JEE Main

IMPORTANT

Plane Trigonometry Part 1>Chapter 5 - Trigonometrical Ratios of Angles of any Size and Sign>EXAMPLES X>Q 38

Prove that: $\cos \left(270°-A\right)=-\sin A$ and $\cot \left(270°-A\right)=\tan A$.

EASY

JEE Main

IMPORTANT

Plane Trigonometry Part 1>Chapter 5 - Trigonometrical Ratios of Angles of any Size and Sign>EXAMPLES X>Q 39

Prove that $\cos A+\sin \left({270}^{\circ }+A\right)-\sin \left({270}^{\circ }-A\right)+\cos \left({180}^{\circ }+A\right)=0$.