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Diano4ka-milaya [45]
3 years ago
14

Match the following definitions with the correct term.

Health
1 answer:
natka813 [3]3 years ago
7 0

Explanation:

Muscular strength is the ability to exert force against a resistance enabling you and I to push, move or lift objects.

Cardiovascular fitness is the ability of the heart, lungs and circulatory system to supply oxygen and nutrients to working muscles efficiently, and allows activities that involve large muscle groups (walking, running, swimming, biking, etc.) to be performed over long periods of time.

Flexibility is the ability to move a body part through a full range of motion.

Lean and Fat Tissues The term body composition is used to describe the different components of the body that make up a person's total body weight or the relative proportions of fat, bone, and muscle mass.

Muscular Endurance is the ability of the muscle to continue to perform without fatigue.

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9.<br>(1 + tan²theta) cot theta<br>cosec theta<br>tan theta​
wolverine [178]

Answer:

Proved

Explanation:

Given

\frac{(1+tan^2\theta). cot\theta}{cosec^2 \theta}= tan \theta

Required

Prove

In trigonometry:

1 + tan^2\theta = sec^2\theta

So, we have:

\frac{sec^2\theta *  cot\theta}{cosec^2 \theta}= tan \theta

Express each identity as an inverse:

\frac{\frac{1}{cos^2\theta} *  \frac{1}{tan\theta}}{\frac{1}{sin^2 \theta}}= tan \theta

Rewrite as:

(\frac{1}{cos^2\theta} *  \frac{1}{tan\theta})/ \frac{1}{sin^2 \theta}= tan \theta

Express tan as sin/cos:

(\frac{1}{cos^2\theta} *  \frac{1}{sin\theta/cos\theta})/ \frac{1}{sin^2 \theta}= tan \theta

(\frac{1}{cos^2\theta} *  \frac{1}{sin\theta/cos\theta}) * sin^2 \theta= tan \theta

(\frac{1}{cos^2\theta} *  \frac{cos\theta}{sin\theta}) * sin^2 \theta= tan \theta

(\frac{1}{cos\theta} *  \frac{1}{sin\theta}) * sin^2 \theta= tan \theta

\frac{sin^2 \theta}{cos\theta*sin\theta}= tan \theta

\frac{sin \theta}{cos\theta}= tan \theta

tan \theta= tan \theta

Proved

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Hope this helps.
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